[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"mega-menu-articles-en":3,"term-casino-roulette-en":13,"related-roulette-en":53,"mdc-qpb8a1-key":61},[4,7,10],{"slug":5,"title":6},"buffalo-gold-slot","Buffalo Gold Slot: 15 Heads and 4 Disputed Numbers 2026",{"slug":8,"title":9},"client-seed-vs-server-seed","Client Seed vs Server Seed: Full Technical Guide (2026)",{"slug":11,"title":12},"how-betting-odds-work","How Betting Odds Work: American, Decimal & Fractional 2026",{"id":14,"slug":15,"status":16,"section":17,"category":18,"difficulty":19,"aliases":20,"related_terms":25,"related_calculators":30,"term":33,"definition":34,"content":35,"example":36,"faq":37,"availableLocales":50},"8dffe9d2-0261-459d-83f0-13af8afd7908","roulette","published","casino","table-games","beginner",[21,22,23,24],"wheel","roulette wheel","European roulette","American roulette",[26,27,28,29],"house-edge","inside-bets","outside-bets","martingale",[31,31,32],"\u002Fcasino\u002Fhouse-edge-calculator","\u002Fcasino\u002Fmartingale-simulator","Roulette","Roulette is a casino game where a ball is spun on a numbered wheel, and players bet on where it will land. The wheel contains 37 numbers (European: 0-36) or 38 (American: 0-36 plus 00). Bets range from specific numbers (35:1 payout) to broader categories like red\u002Fblack (1:1). The zero(s) create the house edge—2.70% for European, 5.26% for American. No betting system can overcome this mathematical disadvantage.","# Roulette\n\n**Roulette** is pure chance made elegant. A ball spins, a wheel turns, and physics determines where millions of dollars land. Unlike blackjack where skill matters, roulette offers no decisions that improve your odds—every bet carries the same mathematical disadvantage. The game's appeal lies in simplicity and variety: bet on a single number for 35:1 excitement, or play red\u002Fblack for steady 1:1 action. Understanding the math won't make you win, but it will prevent you from making things worse.\n\n## Table of Contents\n\n- [How Roulette Works](#how-it-works)\n- [The Roulette Wheel](#the-wheel)\n- [Types of Bets](#bets)\n- [House Edge Explained](#house-edge)\n- [Betting Systems](#systems)\n- [Roulette Strategy](#strategy)\n- [Common Misconceptions](#myths)\n\n## How Roulette Works {#how-it-works}\n\n### The Basic Process\n\n1. **Betting:** Players place chips on the table layout\n2. **Spin:** Dealer spins the wheel and ball in opposite directions\n3. **Result:** Ball settles in a numbered pocket\n4. **Settlement:** Winning bets paid, losing bets collected\n\n### The Table Layout\n\nThe betting table mirrors the wheel's numbers, plus additional betting areas:\n\n| Section | Contents |\n|---------|----------|\n| Number grid | 0, 1-36 (00 on American) |\n| Columns | 3 columns of 12 numbers |\n| Dozens | 1-12, 13-24, 25-36 |\n| Outside bets | Red\u002FBlack, Odd\u002FEven, High\u002FLow |\n\n### Bet Placement\n\n| Timing | Action |\n|--------|--------|\n| Before spin | Place bets freely |\n| During spin | Usually still allowed |\n| \"No more bets\" | Dealer call, betting stops |\n| After result | Payouts and collection |\n\n## The Roulette Wheel {#the-wheel}\n\n### European Wheel (37 Pockets)\n\nNumbers 0-36, single zero\n\n| Pocket Type | Count | Example |\n|-------------|-------|---------|\n| Zero (green) | 1 | 0 |\n| Red | 18 | 1, 3, 5... |\n| Black | 18 | 2, 4, 6... |\n\n**House edge: 2.70%**\n\n### American Wheel (38 Pockets)\n\nNumbers 0-36 plus 00\n\n| Pocket Type | Count | Example |\n|-------------|-------|---------|\n| Zeros (green) | 2 | 0, 00 |\n| Red | 18 | 1, 3, 5... |\n| Black | 18 | 2, 4, 6... |\n\n**House edge: 5.26%**\n\n### French Roulette\n\nEuropean wheel with special rules:\n\n| Rule | Effect |\n|------|--------|\n| La Partage | Half of even-money bets returned if zero |\n| En Prison | Even-money bets \"imprisoned\" if zero, resolved next spin |\n\n**House edge: 1.35%** (on even-money bets with La Partage)\n\n### Wheel Comparison\n\n| Wheel | Numbers | Zeros | House Edge |\n|-------|---------|-------|------------|\n| European | 37 | 1 | 2.70% |\n| American | 38 | 2 | 5.26% |\n| French (La Partage) | 37 | 1 | 1.35%* |\n\n*On even-money bets only\n\n**Always play European or French when available.**\n\n## Types of Bets {#bets}\n\n### Inside Bets\n\nBets on specific numbers or small groups:\n\n| Bet | Description | Payout | European Odds |\n|-----|-------------|--------|---------------|\n| Straight | Single number | 35:1 | 2.70% |\n| Split | 2 adjacent numbers | 17:1 | 5.41% |\n| Street | Row of 3 numbers | 11:1 | 8.11% |\n| Corner | 4 numbers (square) | 8:1 | 10.81% |\n| Line | 6 numbers (2 rows) | 5:1 | 16.22% |\n| Five | 0, 00, 1, 2, 3 (American) | 6:1 | 13.16% |\n\n**The five-bet is the worst bet in roulette** (7.89% house edge on American).\n\n### Outside Bets\n\nBets on larger groups of numbers:\n\n| Bet | Description | Payout | Probability |\n|-----|-------------|--------|-------------|\n| Red\u002FBlack | Color | 1:1 | 48.65% |\n| Odd\u002FEven | Parity | 1:1 | 48.65% |\n| High\u002FLow | 1-18 or 19-36 | 1:1 | 48.65% |\n| Dozen | 1-12, 13-24, 25-36 | 2:1 | 32.43% |\n| Column | Vertical column | 2:1 | 32.43% |\n\n### Probability Calculations\n\n```math\nP(\\text{Win}) = \\frac{\\text{Winning Numbers}}{37} \\text{ (European)}\n```\n\n```math\n\\text{House Edge} = 1 - P(\\text{Win}) \\times (\\text{Payout} + 1)\n```\n\n**Example: Straight bet**\n- P(Win) = 1\u002F37 = 2.70%\n- Payout = 35:1\n- Expected return = (1\u002F37) × 36 = 97.30%\n- House edge = 2.70%\n\n### Bet Summary Table\n\n| Bet Type | Numbers Covered | European Odds | American Odds |\n|----------|-----------------|---------------|---------------|\n| Straight | 1 | 2.70% | 2.63% |\n| Split | 2 | 5.41% | 5.26% |\n| Street | 3 | 8.11% | 7.89% |\n| Corner | 4 | 10.81% | 10.53% |\n| Line | 6 | 16.22% | 15.79% |\n| Dozen\u002FColumn | 12 | 32.43% | 31.58% |\n| Even-money | 18 | 48.65% | 47.37% |\n\n## House Edge Explained {#house-edge}\n\n### Why the House Wins\n\n```math\n\\text{Expected Value per $1} = P(\\text{Win}) \\times \\text{Payout} - P(\\text{Lose}) \\times \\text{Stake}\n```\n\n**European, straight bet:**\n```math\n\\text{EV} = \\frac{1}{37} \\times 35 - \\frac{36}{37} \\times 1 = -0.027 = -2.70\\%\n```\n\n**American, straight bet:**\n```math\n\\text{EV} = \\frac{1}{38} \\times 35 - \\frac{37}{38} \\times 1 = -0.053 = -5.26\\%\n```\n\n### Why Zeros Create the Edge\n\nPayouts are calculated as if zeros don't exist:\n\n| Without Zero | With Zero |\n|--------------|-----------|\n| 36 numbers | 37 numbers |\n| Fair odds = 35:1 | Actual odds = 36:1 |\n| Break-even | House wins difference |\n\nThe zero(s) are \"house numbers\"—when they hit, almost all bets lose.\n\n### Long-Term Cost\n\n| Total Wagered | European Loss | American Loss |\n|---------------|---------------|---------------|\n| \\$1,000 | \\$27 | \\$53 |\n| \\$10,000 | \\$270 | \\$526 |\n| \\$100,000 | \\$2,700 | \\$5,260 |\n\n### House Edge by Wheel\n\n| Wheel | House Edge | Per \\$100\u002Fhr |\n|-------|------------|-------------|\n| French (La Partage) | 1.35% | -\\$1.35 |\n| European | 2.70% | -\\$2.70 |\n| American | 5.26% | -\\$5.26 |\n\n## Betting Systems {#systems}\n\n### Martingale\n\n**Rule:** Double bet after loss\n\n| Round | Bet | Result | P\u002FL |\n|-------|-----|--------|-----|\n| 1 | \\$10 | Lose | -\\$10 |\n| 2 | \\$20 | Lose | -\\$30 |\n| 3 | \\$40 | Win | +\\$10 |\n\n**Problem:** Table limits and bankroll end the progression. Long-term EV unchanged.\n\n### D'Alembert\n\n**Rule:** Increase by 1 unit after loss, decrease after win\n\n| Round | Bet | Result | P\u002FL |\n|-------|-----|--------|-----|\n| 1 | \\$10 | Lose | -\\$10 |\n| 2 | \\$20 | Lose | -\\$30 |\n| 3 | \\$30 | Win | \\$0 |\n| 4 | \\$20 | Win | +\\$20 |\n\n**Problem:** Still negative EV. Gentler than Martingale but same result.\n\n### Fibonacci\n\n**Rule:** Follow Fibonacci sequence after losses\n\n| Round | Bet | Sequence Position |\n|-------|-----|-------------------|\n| 1 | \\$10 | 1 |\n| 2 | \\$10 | 1 |\n| 3 | \\$20 | 2 |\n| 4 | \\$30 | 3 |\n| 5 | \\$50 | 5 |\n\n**Problem:** Slower progression, same mathematical reality.\n\n### Labouchere\n\n**Rule:** Complex cancellation system\n\n**Problem:** Requires large bankroll, doesn't change house edge.\n\n### Why All Systems Fail\n\n```math\n\\text{System EV} = \\sum(\\text{Individual Bet EVs}) = \\text{Negative}\n```\n\nNo combination of negative-EV bets produces positive EV.\n\n| System | Short-Term | Long-Term | EV |\n|--------|------------|-----------|-----|\n| Martingale | Win often | Lose big | Negative |\n| D'Alembert | Steady | Gradual loss | Negative |\n| Fibonacci | Moderate | Loss | Negative |\n| Flat betting | Normal | Loss | Negative |\n\n**All systems have identical expected loss per dollar wagered.**\n\n## Roulette Strategy {#strategy}\n\n### Strategy 1: Choose the Right Wheel\n\n| If Available | Play This |\n|--------------|-----------|\n| French with La Partage | French (1.35% edge) |\n| European | European (2.70% edge) |\n| Only American | Consider not playing |\n\nWheel selection is the only decision that affects your odds.\n\n### Strategy 2: Bankroll Management\n\n```math\n\\text{Sessions Before Ruin} \\approx \\frac{\\text{Bankroll}}{\\text{Bet Size} \\times 50}\n```\n\n| Bankroll | Bet Size | Expected Sessions |\n|----------|----------|-------------------|\n| \\$500 | \\$10 | ~10 |\n| \\$500 | \\$25 | ~4 |\n| \\$500 | \\$50 | ~2 |\n\n### Strategy 3: Time and Loss Limits\n\n| Limit Type | Example |\n|------------|---------|\n| Time | \"1 hour maximum\" |\n| Loss | \"Stop at -\\$200\" |\n| Win goal | \"Leave at +\\$100\" |\n\nWin goals don't improve EV but lock in short-term variance.\n\n### Strategy 4: Bet Selection\n\nAll bets have equal house edge, so choose based on preference:\n\n| If You Want... | Bet Type |\n|----------------|----------|\n| Excitement | Straight-up numbers |\n| Longer sessions | Even-money bets |\n| Moderate risk\u002Freward | Dozens\u002Fcolumns |\n| Simple tracking | Red\u002Fblack |\n\n### Strategy 5: Avoid the Worst Bets\n\n| Bet | Why Avoid |\n|-----|-----------|\n| Five-bet (American) | 7.89% house edge |\n| American roulette generally | 5.26% vs 2.70% |\n| Systems with increasing stakes | Bankroll destruction |\n\n## Common Misconceptions {#myths}\n\n### Myth 1: Numbers Are \"Due\"\n\n**Reality:** Each spin is independent. If red hits 10 times, black has exactly 48.65% chance on spin 11.\n\n```math\nP(\\text{Black next}) = 18\u002F37 = 48.65\\% \\text{ (always)}\n```\n\nThe wheel has no memory.\n\n### Myth 2: Dealers Can Influence Results\n\n**Reality:** The physics of a spinning wheel and ball are too complex to control. Casinos use standardized procedures specifically to prevent dealer influence.\n\n### Myth 3: Patterns Can Be Exploited\n\n**Reality:** Past spins don't predict future outcomes. Electronic displays showing history are entertainment, not useful information.\n\n| Pattern Spotted | Predictive Value |\n|-----------------|------------------|\n| \"Red streak\" | None |\n| \"Hot\u002Fcold numbers\" | None |\n| \"Sector patterns\" | None |\n\n### Myth 4: Some Bets Are \"Safer\"\n\n**Reality:** All bets have identical house edge (except French La Partage). Even-money bets win more often but pay less—the math balances out.\n\n| Bet | Win Frequency | Edge |\n|-----|---------------|------|\n| Red\u002FBlack | 48.65% | 2.70% |\n| Straight | 2.70% | 2.70% |\n\nSame edge, different experience.\n\n### Myth 5: Biased Wheels Exist\n\n**Reality:** Historically true for physical wheels with wear. Modern casinos maintain wheels meticulously. Online roulette uses RNG—no physical bias possible.\n\n## Online vs. Live Roulette {#online}\n\n### RNG Roulette\n\n| Factor | Detail |\n|--------|--------|\n| Fairness | Certified RNG, audited |\n| Speed | Very fast (30+ spins\u002Fhour) |\n| Authenticity | Less immersive |\n| Minimums | Often \\$0.10-1 |\n\n### Live Dealer Roulette\n\n| Factor | Detail |\n|--------|--------|\n| Fairness | Physical wheel, filmed |\n| Speed | Moderate (30-40 spins\u002Fhour) |\n| Authenticity | Real casino feel |\n| Minimums | Usually \\$1-5 |\n\n### Which to Choose\n\n| Priority | Choose |\n|----------|--------|\n| Entertainment | Live dealer |\n| Low stakes | RNG |\n| Speed | RNG |\n| Trust | Either (both regulated) |\n\n## Roulette Variants {#variants}\n\n### Lightning Roulette\n\nRandom multipliers (50-500x) on select numbers each spin.\n\n| Factor | Impact |\n|--------|--------|\n| Base payout | Reduced (29:1 vs 35:1) |\n| Multiplied wins | Up to 500x |\n| House edge | ~2.7% (unchanged) |\n\nHigher variance, same EV.\n\n### Double Ball Roulette\n\nTwo balls, more betting options.\n\n| Factor | Impact |\n|--------|--------|\n| Complexity | Higher |\n| House edge | Similar |\n| Excitement | More action |\n\n### Mini Roulette\n\n12 numbers plus zero.\n\n| Factor | Impact |\n|--------|--------|\n| House edge | 7.69% (much worse) |\n| Speed | Faster |\n| Recommendation | Avoid |\n\n## Related Calculators\n\n- [Roulette Odds Calculator](\u002Fcasino\u002Fhouse-edge-calculator) - Calculate any bet\n- [Roulette Odds Table](\u002Fcasino\u002Fhouse-edge-calculator) - Full probability reference\n- [Betting Systems Simulator](\u002Fcasino\u002Fmartingale-simulator) - Test systems mathematically",null,[38,41,44,47],{"answer":39,"question":40},"European roulette has 37 pockets (0-36) with 2.70% house edge. American roulette has 38 pockets (0-36 plus 00) with 5.26% house edge. The extra zero nearly doubles the house advantage. Always play European roulette when available—it's better for players.","What's the difference between European and American roulette?",{"answer":42,"question":43},"No. Every bet has negative expected value due to the zero(s). Systems like Martingale restructure when losses occur but don't change the mathematical edge. You might win short-term, but long-term results always favor the house. No pattern of bets changes the house edge.","Can you beat roulette with a betting system?",{"answer":45,"question":46},"No. Each spin is independent with equal probability for all numbers. If 17 hasn't hit in 50 spins, it's not 'due'—it still has exactly 1\u002F37 probability on the next spin. The gambler's fallacy causes people to see patterns where none exist.","Are some numbers 'luckier' than others?",{"answer":48,"question":49},"All bets have the same house edge in standard roulette (2.70% European, 5.26% American). Exception: French roulette with La Partage rule halves the house edge on even-money bets to 1.35% when zero hits. This is the best roulette bet available.","Is there a best bet in roulette?",[51,52],"en","ru",[54,58],{"slug":26,"section":17,"category":55,"difficulty":36,"term":56,"definition":57},"rtp-variance","House Edge","The mathematical advantage the casino has over players, expressed as a percentage of each bet that the casino expects to keep over time — the built-in profit margin that ensures casinos always win in the long run.",{"slug":29,"section":17,"category":55,"difficulty":19,"term":59,"definition":60},"Martingale","The Martingale is a negative progression betting system where stakes are doubled after each loss to recover previous losses plus one unit profit upon winning. While mathematically seductive—you 'always win eventually'—the system fails due to table limits, bankroll constraints, and exponential bet growth. A 10-bet losing streak requires 1,024 units, turning a \\$10 base bet into a \\$10,240 wager. The house edge remains unchanged; Martingale only restructures when losses occur, not whether they occur.",{"data":62,"body":63},{},{"type":64,"children":65},"root",[66,73,84,90,159,165,172,216,222,227,307,313,387,393,399,404,484,492,498,503,575,583,589,594,642,652,658,754,759,767,773,778,783,952,962,967,972,1109,1115,1393,1637,1645,1668,1674,1850,1856,1862,1871,1879,2359,2367,2836,2842,2847,2908,2913,2919,3000,3006,3080,3086,3090,3100,3195,3205,3211,3220,3327,3336,3342,3351,3453,3462,3468,3477,3486,3492,3651,3656,3771,3779,3785,3791,3851,3856,3862,4078,4154,4160,4219,4224,4230,4235,4308,4314,4374,4380,4386,4396,4568,4573,4579,4588,4594,4603,4662,4668,4677,4733,4738,4744,4753,4759,4765,4839,4845,4913,4919,4991,4997,5003,5008,5068,5073,5079,5084,5141,5147,5152,5209,5215],{"type":67,"tag":68,"props":69,"children":70},"element","h2",{"id":15},[71],{"type":72,"value":33},"text",{"type":67,"tag":74,"props":75,"children":76},"p",{},[77,82],{"type":67,"tag":78,"props":79,"children":80},"strong",{},[81],{"type":72,"value":33},{"type":72,"value":83}," is pure chance made elegant. A ball spins, a wheel turns, and physics determines where millions of dollars land. Unlike blackjack where skill matters, roulette offers no decisions that improve your odds—every bet carries the same mathematical disadvantage. The game's appeal lies in simplicity and variety: bet on a single number for 35:1 excitement, or play red\u002Fblack for steady 1:1 action. Understanding the math won't make you win, but it will prevent you from making things worse.",{"type":67,"tag":68,"props":85,"children":87},{"id":86},"table-of-contents",[88],{"type":72,"value":89},"Table of Contents",{"type":67,"tag":91,"props":92,"children":93},"ul",{},[94,105,114,123,132,141,150],{"type":67,"tag":95,"props":96,"children":97},"li",{},[98],{"type":67,"tag":99,"props":100,"children":102},"a",{"href":101},"#how-it-works",[103],{"type":72,"value":104},"How Roulette Works",{"type":67,"tag":95,"props":106,"children":107},{},[108],{"type":67,"tag":99,"props":109,"children":111},{"href":110},"#the-wheel",[112],{"type":72,"value":113},"The Roulette Wheel",{"type":67,"tag":95,"props":115,"children":116},{},[117],{"type":67,"tag":99,"props":118,"children":120},{"href":119},"#bets",[121],{"type":72,"value":122},"Types of Bets",{"type":67,"tag":95,"props":124,"children":125},{},[126],{"type":67,"tag":99,"props":127,"children":129},{"href":128},"#house-edge",[130],{"type":72,"value":131},"House Edge Explained",{"type":67,"tag":95,"props":133,"children":134},{},[135],{"type":67,"tag":99,"props":136,"children":138},{"href":137},"#systems",[139],{"type":72,"value":140},"Betting Systems",{"type":67,"tag":95,"props":142,"children":143},{},[144],{"type":67,"tag":99,"props":145,"children":147},{"href":146},"#strategy",[148],{"type":72,"value":149},"Roulette Strategy",{"type":67,"tag":95,"props":151,"children":152},{},[153],{"type":67,"tag":99,"props":154,"children":156},{"href":155},"#myths",[157],{"type":72,"value":158},"Common Misconceptions",{"type":67,"tag":68,"props":160,"children":162},{"id":161},"how-roulette-works-how-it-works",[163],{"type":72,"value":164},"How Roulette Works {#how-it-works}",{"type":67,"tag":166,"props":167,"children":169},"h3",{"id":168},"the-basic-process",[170],{"type":72,"value":171},"The Basic Process",{"type":67,"tag":173,"props":174,"children":175},"ol",{},[176,186,196,206],{"type":67,"tag":95,"props":177,"children":178},{},[179,184],{"type":67,"tag":78,"props":180,"children":181},{},[182],{"type":72,"value":183},"Betting:",{"type":72,"value":185}," Players place chips on the table layout",{"type":67,"tag":95,"props":187,"children":188},{},[189,194],{"type":67,"tag":78,"props":190,"children":191},{},[192],{"type":72,"value":193},"Spin:",{"type":72,"value":195}," Dealer spins the wheel and ball in opposite directions",{"type":67,"tag":95,"props":197,"children":198},{},[199,204],{"type":67,"tag":78,"props":200,"children":201},{},[202],{"type":72,"value":203},"Result:",{"type":72,"value":205}," Ball settles in a numbered pocket",{"type":67,"tag":95,"props":207,"children":208},{},[209,214],{"type":67,"tag":78,"props":210,"children":211},{},[212],{"type":72,"value":213},"Settlement:",{"type":72,"value":215}," Winning bets paid, losing bets collected",{"type":67,"tag":166,"props":217,"children":219},{"id":218},"the-table-layout",[220],{"type":72,"value":221},"The Table Layout",{"type":67,"tag":74,"props":223,"children":224},{},[225],{"type":72,"value":226},"The betting table mirrors the wheel's numbers, plus additional betting areas:",{"type":67,"tag":228,"props":229,"children":230},"table",{},[231,250],{"type":67,"tag":232,"props":233,"children":234},"thead",{},[235],{"type":67,"tag":236,"props":237,"children":238},"tr",{},[239,245],{"type":67,"tag":240,"props":241,"children":242},"th",{},[243],{"type":72,"value":244},"Section",{"type":67,"tag":240,"props":246,"children":247},{},[248],{"type":72,"value":249},"Contents",{"type":67,"tag":251,"props":252,"children":253},"tbody",{},[254,268,281,294],{"type":67,"tag":236,"props":255,"children":256},{},[257,263],{"type":67,"tag":258,"props":259,"children":260},"td",{},[261],{"type":72,"value":262},"Number grid",{"type":67,"tag":258,"props":264,"children":265},{},[266],{"type":72,"value":267},"0, 1-36 (00 on American)",{"type":67,"tag":236,"props":269,"children":270},{},[271,276],{"type":67,"tag":258,"props":272,"children":273},{},[274],{"type":72,"value":275},"Columns",{"type":67,"tag":258,"props":277,"children":278},{},[279],{"type":72,"value":280},"3 columns of 12 numbers",{"type":67,"tag":236,"props":282,"children":283},{},[284,289],{"type":67,"tag":258,"props":285,"children":286},{},[287],{"type":72,"value":288},"Dozens",{"type":67,"tag":258,"props":290,"children":291},{},[292],{"type":72,"value":293},"1-12, 13-24, 25-36",{"type":67,"tag":236,"props":295,"children":296},{},[297,302],{"type":67,"tag":258,"props":298,"children":299},{},[300],{"type":72,"value":301},"Outside bets",{"type":67,"tag":258,"props":303,"children":304},{},[305],{"type":72,"value":306},"Red\u002FBlack, Odd\u002FEven, High\u002FLow",{"type":67,"tag":166,"props":308,"children":310},{"id":309},"bet-placement",[311],{"type":72,"value":312},"Bet Placement",{"type":67,"tag":228,"props":314,"children":315},{},[316,332],{"type":67,"tag":232,"props":317,"children":318},{},[319],{"type":67,"tag":236,"props":320,"children":321},{},[322,327],{"type":67,"tag":240,"props":323,"children":324},{},[325],{"type":72,"value":326},"Timing",{"type":67,"tag":240,"props":328,"children":329},{},[330],{"type":72,"value":331},"Action",{"type":67,"tag":251,"props":333,"children":334},{},[335,348,361,374],{"type":67,"tag":236,"props":336,"children":337},{},[338,343],{"type":67,"tag":258,"props":339,"children":340},{},[341],{"type":72,"value":342},"Before spin",{"type":67,"tag":258,"props":344,"children":345},{},[346],{"type":72,"value":347},"Place bets freely",{"type":67,"tag":236,"props":349,"children":350},{},[351,356],{"type":67,"tag":258,"props":352,"children":353},{},[354],{"type":72,"value":355},"During spin",{"type":67,"tag":258,"props":357,"children":358},{},[359],{"type":72,"value":360},"Usually still allowed",{"type":67,"tag":236,"props":362,"children":363},{},[364,369],{"type":67,"tag":258,"props":365,"children":366},{},[367],{"type":72,"value":368},"\"No more bets\"",{"type":67,"tag":258,"props":370,"children":371},{},[372],{"type":72,"value":373},"Dealer call, betting stops",{"type":67,"tag":236,"props":375,"children":376},{},[377,382],{"type":67,"tag":258,"props":378,"children":379},{},[380],{"type":72,"value":381},"After result",{"type":67,"tag":258,"props":383,"children":384},{},[385],{"type":72,"value":386},"Payouts and collection",{"type":67,"tag":68,"props":388,"children":390},{"id":389},"the-roulette-wheel-the-wheel",[391],{"type":72,"value":392},"The Roulette Wheel {#the-wheel}",{"type":67,"tag":166,"props":394,"children":396},{"id":395},"european-wheel-37-pockets",[397],{"type":72,"value":398},"European Wheel (37 Pockets)",{"type":67,"tag":74,"props":400,"children":401},{},[402],{"type":72,"value":403},"Numbers 0-36, single zero",{"type":67,"tag":228,"props":405,"children":406},{},[407,428],{"type":67,"tag":232,"props":408,"children":409},{},[410],{"type":67,"tag":236,"props":411,"children":412},{},[413,418,423],{"type":67,"tag":240,"props":414,"children":415},{},[416],{"type":72,"value":417},"Pocket Type",{"type":67,"tag":240,"props":419,"children":420},{},[421],{"type":72,"value":422},"Count",{"type":67,"tag":240,"props":424,"children":425},{},[426],{"type":72,"value":427},"Example",{"type":67,"tag":251,"props":429,"children":430},{},[431,449,467],{"type":67,"tag":236,"props":432,"children":433},{},[434,439,444],{"type":67,"tag":258,"props":435,"children":436},{},[437],{"type":72,"value":438},"Zero (green)",{"type":67,"tag":258,"props":440,"children":441},{},[442],{"type":72,"value":443},"1",{"type":67,"tag":258,"props":445,"children":446},{},[447],{"type":72,"value":448},"0",{"type":67,"tag":236,"props":450,"children":451},{},[452,457,462],{"type":67,"tag":258,"props":453,"children":454},{},[455],{"type":72,"value":456},"Red",{"type":67,"tag":258,"props":458,"children":459},{},[460],{"type":72,"value":461},"18",{"type":67,"tag":258,"props":463,"children":464},{},[465],{"type":72,"value":466},"1, 3, 5...",{"type":67,"tag":236,"props":468,"children":469},{},[470,475,479],{"type":67,"tag":258,"props":471,"children":472},{},[473],{"type":72,"value":474},"Black",{"type":67,"tag":258,"props":476,"children":477},{},[478],{"type":72,"value":461},{"type":67,"tag":258,"props":480,"children":481},{},[482],{"type":72,"value":483},"2, 4, 6...",{"type":67,"tag":74,"props":485,"children":486},{},[487],{"type":67,"tag":78,"props":488,"children":489},{},[490],{"type":72,"value":491},"House edge: 2.70%",{"type":67,"tag":166,"props":493,"children":495},{"id":494},"american-wheel-38-pockets",[496],{"type":72,"value":497},"American Wheel (38 Pockets)",{"type":67,"tag":74,"props":499,"children":500},{},[501],{"type":72,"value":502},"Numbers 0-36 plus 00",{"type":67,"tag":228,"props":504,"children":505},{},[506,524],{"type":67,"tag":232,"props":507,"children":508},{},[509],{"type":67,"tag":236,"props":510,"children":511},{},[512,516,520],{"type":67,"tag":240,"props":513,"children":514},{},[515],{"type":72,"value":417},{"type":67,"tag":240,"props":517,"children":518},{},[519],{"type":72,"value":422},{"type":67,"tag":240,"props":521,"children":522},{},[523],{"type":72,"value":427},{"type":67,"tag":251,"props":525,"children":526},{},[527,545,560],{"type":67,"tag":236,"props":528,"children":529},{},[530,535,540],{"type":67,"tag":258,"props":531,"children":532},{},[533],{"type":72,"value":534},"Zeros (green)",{"type":67,"tag":258,"props":536,"children":537},{},[538],{"type":72,"value":539},"2",{"type":67,"tag":258,"props":541,"children":542},{},[543],{"type":72,"value":544},"0, 00",{"type":67,"tag":236,"props":546,"children":547},{},[548,552,556],{"type":67,"tag":258,"props":549,"children":550},{},[551],{"type":72,"value":456},{"type":67,"tag":258,"props":553,"children":554},{},[555],{"type":72,"value":461},{"type":67,"tag":258,"props":557,"children":558},{},[559],{"type":72,"value":466},{"type":67,"tag":236,"props":561,"children":562},{},[563,567,571],{"type":67,"tag":258,"props":564,"children":565},{},[566],{"type":72,"value":474},{"type":67,"tag":258,"props":568,"children":569},{},[570],{"type":72,"value":461},{"type":67,"tag":258,"props":572,"children":573},{},[574],{"type":72,"value":483},{"type":67,"tag":74,"props":576,"children":577},{},[578],{"type":67,"tag":78,"props":579,"children":580},{},[581],{"type":72,"value":582},"House edge: 5.26%",{"type":67,"tag":166,"props":584,"children":586},{"id":585},"french-roulette",[587],{"type":72,"value":588},"French Roulette",{"type":67,"tag":74,"props":590,"children":591},{},[592],{"type":72,"value":593},"European wheel with special rules:",{"type":67,"tag":228,"props":595,"children":596},{},[597,613],{"type":67,"tag":232,"props":598,"children":599},{},[600],{"type":67,"tag":236,"props":601,"children":602},{},[603,608],{"type":67,"tag":240,"props":604,"children":605},{},[606],{"type":72,"value":607},"Rule",{"type":67,"tag":240,"props":609,"children":610},{},[611],{"type":72,"value":612},"Effect",{"type":67,"tag":251,"props":614,"children":615},{},[616,629],{"type":67,"tag":236,"props":617,"children":618},{},[619,624],{"type":67,"tag":258,"props":620,"children":621},{},[622],{"type":72,"value":623},"La Partage",{"type":67,"tag":258,"props":625,"children":626},{},[627],{"type":72,"value":628},"Half of even-money bets returned if zero",{"type":67,"tag":236,"props":630,"children":631},{},[632,637],{"type":67,"tag":258,"props":633,"children":634},{},[635],{"type":72,"value":636},"En Prison",{"type":67,"tag":258,"props":638,"children":639},{},[640],{"type":72,"value":641},"Even-money bets \"imprisoned\" if zero, resolved next spin",{"type":67,"tag":74,"props":643,"children":644},{},[645,650],{"type":67,"tag":78,"props":646,"children":647},{},[648],{"type":72,"value":649},"House edge: 1.35%",{"type":72,"value":651}," (on even-money bets with La Partage)",{"type":67,"tag":166,"props":653,"children":655},{"id":654},"wheel-comparison",[656],{"type":72,"value":657},"Wheel Comparison",{"type":67,"tag":228,"props":659,"children":660},{},[661,686],{"type":67,"tag":232,"props":662,"children":663},{},[664],{"type":67,"tag":236,"props":665,"children":666},{},[667,672,677,682],{"type":67,"tag":240,"props":668,"children":669},{},[670],{"type":72,"value":671},"Wheel",{"type":67,"tag":240,"props":673,"children":674},{},[675],{"type":72,"value":676},"Numbers",{"type":67,"tag":240,"props":678,"children":679},{},[680],{"type":72,"value":681},"Zeros",{"type":67,"tag":240,"props":683,"children":684},{},[685],{"type":72,"value":56},{"type":67,"tag":251,"props":687,"children":688},{},[689,711,733],{"type":67,"tag":236,"props":690,"children":691},{},[692,697,702,706],{"type":67,"tag":258,"props":693,"children":694},{},[695],{"type":72,"value":696},"European",{"type":67,"tag":258,"props":698,"children":699},{},[700],{"type":72,"value":701},"37",{"type":67,"tag":258,"props":703,"children":704},{},[705],{"type":72,"value":443},{"type":67,"tag":258,"props":707,"children":708},{},[709],{"type":72,"value":710},"2.70%",{"type":67,"tag":236,"props":712,"children":713},{},[714,719,724,728],{"type":67,"tag":258,"props":715,"children":716},{},[717],{"type":72,"value":718},"American",{"type":67,"tag":258,"props":720,"children":721},{},[722],{"type":72,"value":723},"38",{"type":67,"tag":258,"props":725,"children":726},{},[727],{"type":72,"value":539},{"type":67,"tag":258,"props":729,"children":730},{},[731],{"type":72,"value":732},"5.26%",{"type":67,"tag":236,"props":734,"children":735},{},[736,741,745,749],{"type":67,"tag":258,"props":737,"children":738},{},[739],{"type":72,"value":740},"French (La Partage)",{"type":67,"tag":258,"props":742,"children":743},{},[744],{"type":72,"value":701},{"type":67,"tag":258,"props":746,"children":747},{},[748],{"type":72,"value":443},{"type":67,"tag":258,"props":750,"children":751},{},[752],{"type":72,"value":753},"1.35%*",{"type":67,"tag":74,"props":755,"children":756},{},[757],{"type":72,"value":758},"*On even-money bets only",{"type":67,"tag":74,"props":760,"children":761},{},[762],{"type":67,"tag":78,"props":763,"children":764},{},[765],{"type":72,"value":766},"Always play European or French when available.",{"type":67,"tag":68,"props":768,"children":770},{"id":769},"types-of-bets-bets",[771],{"type":72,"value":772},"Types of Bets {#bets}",{"type":67,"tag":166,"props":774,"children":775},{"id":27},[776],{"type":72,"value":777},"Inside Bets",{"type":67,"tag":74,"props":779,"children":780},{},[781],{"type":72,"value":782},"Bets on specific numbers or small groups:",{"type":67,"tag":228,"props":784,"children":785},{},[786,812],{"type":67,"tag":232,"props":787,"children":788},{},[789],{"type":67,"tag":236,"props":790,"children":791},{},[792,797,802,807],{"type":67,"tag":240,"props":793,"children":794},{},[795],{"type":72,"value":796},"Bet",{"type":67,"tag":240,"props":798,"children":799},{},[800],{"type":72,"value":801},"Description",{"type":67,"tag":240,"props":803,"children":804},{},[805],{"type":72,"value":806},"Payout",{"type":67,"tag":240,"props":808,"children":809},{},[810],{"type":72,"value":811},"European Odds",{"type":67,"tag":251,"props":813,"children":814},{},[815,837,860,883,906,929],{"type":67,"tag":236,"props":816,"children":817},{},[818,823,828,833],{"type":67,"tag":258,"props":819,"children":820},{},[821],{"type":72,"value":822},"Straight",{"type":67,"tag":258,"props":824,"children":825},{},[826],{"type":72,"value":827},"Single number",{"type":67,"tag":258,"props":829,"children":830},{},[831],{"type":72,"value":832},"35:1",{"type":67,"tag":258,"props":834,"children":835},{},[836],{"type":72,"value":710},{"type":67,"tag":236,"props":838,"children":839},{},[840,845,850,855],{"type":67,"tag":258,"props":841,"children":842},{},[843],{"type":72,"value":844},"Split",{"type":67,"tag":258,"props":846,"children":847},{},[848],{"type":72,"value":849},"2 adjacent numbers",{"type":67,"tag":258,"props":851,"children":852},{},[853],{"type":72,"value":854},"17:1",{"type":67,"tag":258,"props":856,"children":857},{},[858],{"type":72,"value":859},"5.41%",{"type":67,"tag":236,"props":861,"children":862},{},[863,868,873,878],{"type":67,"tag":258,"props":864,"children":865},{},[866],{"type":72,"value":867},"Street",{"type":67,"tag":258,"props":869,"children":870},{},[871],{"type":72,"value":872},"Row of 3 numbers",{"type":67,"tag":258,"props":874,"children":875},{},[876],{"type":72,"value":877},"11:1",{"type":67,"tag":258,"props":879,"children":880},{},[881],{"type":72,"value":882},"8.11%",{"type":67,"tag":236,"props":884,"children":885},{},[886,891,896,901],{"type":67,"tag":258,"props":887,"children":888},{},[889],{"type":72,"value":890},"Corner",{"type":67,"tag":258,"props":892,"children":893},{},[894],{"type":72,"value":895},"4 numbers (square)",{"type":67,"tag":258,"props":897,"children":898},{},[899],{"type":72,"value":900},"8:1",{"type":67,"tag":258,"props":902,"children":903},{},[904],{"type":72,"value":905},"10.81%",{"type":67,"tag":236,"props":907,"children":908},{},[909,914,919,924],{"type":67,"tag":258,"props":910,"children":911},{},[912],{"type":72,"value":913},"Line",{"type":67,"tag":258,"props":915,"children":916},{},[917],{"type":72,"value":918},"6 numbers (2 rows)",{"type":67,"tag":258,"props":920,"children":921},{},[922],{"type":72,"value":923},"5:1",{"type":67,"tag":258,"props":925,"children":926},{},[927],{"type":72,"value":928},"16.22%",{"type":67,"tag":236,"props":930,"children":931},{},[932,937,942,947],{"type":67,"tag":258,"props":933,"children":934},{},[935],{"type":72,"value":936},"Five",{"type":67,"tag":258,"props":938,"children":939},{},[940],{"type":72,"value":941},"0, 00, 1, 2, 3 (American)",{"type":67,"tag":258,"props":943,"children":944},{},[945],{"type":72,"value":946},"6:1",{"type":67,"tag":258,"props":948,"children":949},{},[950],{"type":72,"value":951},"13.16%",{"type":67,"tag":74,"props":953,"children":954},{},[955,960],{"type":67,"tag":78,"props":956,"children":957},{},[958],{"type":72,"value":959},"The five-bet is the worst bet in roulette",{"type":72,"value":961}," (7.89% house edge on American).",{"type":67,"tag":166,"props":963,"children":964},{"id":28},[965],{"type":72,"value":966},"Outside Bets",{"type":67,"tag":74,"props":968,"children":969},{},[970],{"type":72,"value":971},"Bets on larger groups of numbers:",{"type":67,"tag":228,"props":973,"children":974},{},[975,998],{"type":67,"tag":232,"props":976,"children":977},{},[978],{"type":67,"tag":236,"props":979,"children":980},{},[981,985,989,993],{"type":67,"tag":240,"props":982,"children":983},{},[984],{"type":72,"value":796},{"type":67,"tag":240,"props":986,"children":987},{},[988],{"type":72,"value":801},{"type":67,"tag":240,"props":990,"children":991},{},[992],{"type":72,"value":806},{"type":67,"tag":240,"props":994,"children":995},{},[996],{"type":72,"value":997},"Probability",{"type":67,"tag":251,"props":999,"children":1000},{},[1001,1024,1045,1066,1088],{"type":67,"tag":236,"props":1002,"children":1003},{},[1004,1009,1014,1019],{"type":67,"tag":258,"props":1005,"children":1006},{},[1007],{"type":72,"value":1008},"Red\u002FBlack",{"type":67,"tag":258,"props":1010,"children":1011},{},[1012],{"type":72,"value":1013},"Color",{"type":67,"tag":258,"props":1015,"children":1016},{},[1017],{"type":72,"value":1018},"1:1",{"type":67,"tag":258,"props":1020,"children":1021},{},[1022],{"type":72,"value":1023},"48.65%",{"type":67,"tag":236,"props":1025,"children":1026},{},[1027,1032,1037,1041],{"type":67,"tag":258,"props":1028,"children":1029},{},[1030],{"type":72,"value":1031},"Odd\u002FEven",{"type":67,"tag":258,"props":1033,"children":1034},{},[1035],{"type":72,"value":1036},"Parity",{"type":67,"tag":258,"props":1038,"children":1039},{},[1040],{"type":72,"value":1018},{"type":67,"tag":258,"props":1042,"children":1043},{},[1044],{"type":72,"value":1023},{"type":67,"tag":236,"props":1046,"children":1047},{},[1048,1053,1058,1062],{"type":67,"tag":258,"props":1049,"children":1050},{},[1051],{"type":72,"value":1052},"High\u002FLow",{"type":67,"tag":258,"props":1054,"children":1055},{},[1056],{"type":72,"value":1057},"1-18 or 19-36",{"type":67,"tag":258,"props":1059,"children":1060},{},[1061],{"type":72,"value":1018},{"type":67,"tag":258,"props":1063,"children":1064},{},[1065],{"type":72,"value":1023},{"type":67,"tag":236,"props":1067,"children":1068},{},[1069,1074,1078,1083],{"type":67,"tag":258,"props":1070,"children":1071},{},[1072],{"type":72,"value":1073},"Dozen",{"type":67,"tag":258,"props":1075,"children":1076},{},[1077],{"type":72,"value":293},{"type":67,"tag":258,"props":1079,"children":1080},{},[1081],{"type":72,"value":1082},"2:1",{"type":67,"tag":258,"props":1084,"children":1085},{},[1086],{"type":72,"value":1087},"32.43%",{"type":67,"tag":236,"props":1089,"children":1090},{},[1091,1096,1101,1105],{"type":67,"tag":258,"props":1092,"children":1093},{},[1094],{"type":72,"value":1095},"Column",{"type":67,"tag":258,"props":1097,"children":1098},{},[1099],{"type":72,"value":1100},"Vertical column",{"type":67,"tag":258,"props":1102,"children":1103},{},[1104],{"type":72,"value":1082},{"type":67,"tag":258,"props":1106,"children":1107},{},[1108],{"type":72,"value":1087},{"type":67,"tag":166,"props":1110,"children":1112},{"id":1111},"probability-calculations",[1113],{"type":72,"value":1114},"Probability Calculations",{"type":67,"tag":1116,"props":1117,"children":1120},"span",{"className":1118},[1119],"katex",[1121,1194],{"type":67,"tag":1116,"props":1122,"children":1125},{"className":1123},[1124],"katex-mathml",[1126],{"type":67,"tag":1127,"props":1128,"children":1130},"math",{"xmlns":1129},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[1131],{"type":67,"tag":1132,"props":1133,"children":1134},"semantics",{},[1135,1187],{"type":67,"tag":1136,"props":1137,"children":1138},"mrow",{},[1139,1145,1152,1158,1163,1168,1182],{"type":67,"tag":1140,"props":1141,"children":1142},"mi",{},[1143],{"type":72,"value":1144},"P",{"type":67,"tag":1146,"props":1147,"children":1149},"mo",{"stretchy":1148},"false",[1150],{"type":72,"value":1151},"(",{"type":67,"tag":1153,"props":1154,"children":1155},"mtext",{},[1156],{"type":72,"value":1157},"Win",{"type":67,"tag":1146,"props":1159,"children":1160},{"stretchy":1148},[1161],{"type":72,"value":1162},")",{"type":67,"tag":1146,"props":1164,"children":1165},{},[1166],{"type":72,"value":1167},"=",{"type":67,"tag":1169,"props":1170,"children":1171},"mfrac",{},[1172,1177],{"type":67,"tag":1153,"props":1173,"children":1174},{},[1175],{"type":72,"value":1176},"Winning Numbers",{"type":67,"tag":1178,"props":1179,"children":1180},"mn",{},[1181],{"type":72,"value":701},{"type":67,"tag":1153,"props":1183,"children":1184},{},[1185],{"type":72,"value":1186}," (European)",{"type":67,"tag":1188,"props":1189,"children":1191},"annotation",{"encoding":1190},"application\u002Fx-tex",[1192],{"type":72,"value":1193},"P(\\text{Win}) = \\frac{\\text{Winning Numbers}}{37} \\text{ (European)}\n",{"type":67,"tag":1116,"props":1195,"children":1199},{"className":1196,"ariaHidden":1198},[1197],"katex-html","true",[1200,1256],{"type":67,"tag":1116,"props":1201,"children":1204},{"className":1202},[1203],"base",[1205,1211,1219,1225,1234,1240,1246,1252],{"type":67,"tag":1116,"props":1206,"children":1210},{"className":1207,"style":1209},[1208],"strut","height:1em;vertical-align:-0.25em;",[],{"type":67,"tag":1116,"props":1212,"children":1217},{"className":1213,"style":1216},[1214,1215],"mord","mathnormal","margin-right:0.1389em;",[1218],{"type":72,"value":1144},{"type":67,"tag":1116,"props":1220,"children":1223},{"className":1221},[1222],"mopen",[1224],{"type":72,"value":1151},{"type":67,"tag":1116,"props":1226,"children":1228},{"className":1227},[1214,72],[1229],{"type":67,"tag":1116,"props":1230,"children":1232},{"className":1231},[1214],[1233],{"type":72,"value":1157},{"type":67,"tag":1116,"props":1235,"children":1238},{"className":1236},[1237],"mclose",[1239],{"type":72,"value":1162},{"type":67,"tag":1116,"props":1241,"children":1245},{"className":1242,"style":1244},[1243],"mspace","margin-right:0.2778em;",[],{"type":67,"tag":1116,"props":1247,"children":1250},{"className":1248},[1249],"mrel",[1251],{"type":72,"value":1167},{"type":67,"tag":1116,"props":1253,"children":1255},{"className":1254,"style":1244},[1243],[],{"type":67,"tag":1116,"props":1257,"children":1259},{"className":1258},[1203],[1260,1265,1384],{"type":67,"tag":1116,"props":1261,"children":1264},{"className":1262,"style":1263},[1208],"height:1.2772em;vertical-align:-0.345em;",[],{"type":67,"tag":1116,"props":1266,"children":1268},{"className":1267},[1214],[1269,1274,1380],{"type":67,"tag":1116,"props":1270,"children":1273},{"className":1271},[1222,1272],"nulldelimiter",[],{"type":67,"tag":1116,"props":1275,"children":1277},{"className":1276},[1169],[1278],{"type":67,"tag":1116,"props":1279,"children":1283},{"className":1280},[1281,1282],"vlist-t","vlist-t2",[1284,1368],{"type":67,"tag":1116,"props":1285,"children":1288},{"className":1286},[1287],"vlist-r",[1289,1361],{"type":67,"tag":1116,"props":1290,"children":1294},{"className":1291,"style":1293},[1292],"vlist","height:0.9322em;",[1295,1322,1336],{"type":67,"tag":1116,"props":1296,"children":1298},{"style":1297},"top:-2.655em;",[1299,1305],{"type":67,"tag":1116,"props":1300,"children":1304},{"className":1301,"style":1303},[1302],"pstrut","height:3em;",[],{"type":67,"tag":1116,"props":1306,"children":1312},{"className":1307},[1308,1309,1310,1311],"sizing","reset-size6","size3","mtight",[1313],{"type":67,"tag":1116,"props":1314,"children":1316},{"className":1315},[1214,1311],[1317],{"type":67,"tag":1116,"props":1318,"children":1320},{"className":1319},[1214,1311],[1321],{"type":72,"value":701},{"type":67,"tag":1116,"props":1323,"children":1325},{"style":1324},"top:-3.23em;",[1326,1330],{"type":67,"tag":1116,"props":1327,"children":1329},{"className":1328,"style":1303},[1302],[],{"type":67,"tag":1116,"props":1331,"children":1335},{"className":1332,"style":1334},[1333],"frac-line","border-bottom-width:0.04em;",[],{"type":67,"tag":1116,"props":1337,"children":1339},{"style":1338},"top:-3.4461em;",[1340,1344],{"type":67,"tag":1116,"props":1341,"children":1343},{"className":1342,"style":1303},[1302],[],{"type":67,"tag":1116,"props":1345,"children":1347},{"className":1346},[1308,1309,1310,1311],[1348],{"type":67,"tag":1116,"props":1349,"children":1351},{"className":1350},[1214,1311],[1352],{"type":67,"tag":1116,"props":1353,"children":1355},{"className":1354},[1214,72,1311],[1356],{"type":67,"tag":1116,"props":1357,"children":1359},{"className":1358},[1214,1311],[1360],{"type":72,"value":1176},{"type":67,"tag":1116,"props":1362,"children":1365},{"className":1363},[1364],"vlist-s",[1366],{"type":72,"value":1367},"​",{"type":67,"tag":1116,"props":1369,"children":1371},{"className":1370},[1287],[1372],{"type":67,"tag":1116,"props":1373,"children":1376},{"className":1374,"style":1375},[1292],"height:0.345em;",[1377],{"type":67,"tag":1116,"props":1378,"children":1379},{},[],{"type":67,"tag":1116,"props":1381,"children":1383},{"className":1382},[1237,1272],[],{"type":67,"tag":1116,"props":1385,"children":1387},{"className":1386},[1214,72],[1388],{"type":67,"tag":1116,"props":1389,"children":1391},{"className":1390},[1214],[1392],{"type":72,"value":1186},{"type":67,"tag":1116,"props":1394,"children":1396},{"className":1395},[1119],[1397,1475],{"type":67,"tag":1116,"props":1398,"children":1400},{"className":1399},[1124],[1401],{"type":67,"tag":1127,"props":1402,"children":1403},{"xmlns":1129},[1404],{"type":67,"tag":1132,"props":1405,"children":1406},{},[1407,1470],{"type":67,"tag":1136,"props":1408,"children":1409},{},[1410,1415,1419,1423,1428,1432,1436,1440,1444,1449,1453,1457,1462,1466],{"type":67,"tag":1153,"props":1411,"children":1412},{},[1413],{"type":72,"value":1414},"House Edge",{"type":67,"tag":1146,"props":1416,"children":1417},{},[1418],{"type":72,"value":1167},{"type":67,"tag":1178,"props":1420,"children":1421},{},[1422],{"type":72,"value":443},{"type":67,"tag":1146,"props":1424,"children":1425},{},[1426],{"type":72,"value":1427},"−",{"type":67,"tag":1140,"props":1429,"children":1430},{},[1431],{"type":72,"value":1144},{"type":67,"tag":1146,"props":1433,"children":1434},{"stretchy":1148},[1435],{"type":72,"value":1151},{"type":67,"tag":1153,"props":1437,"children":1438},{},[1439],{"type":72,"value":1157},{"type":67,"tag":1146,"props":1441,"children":1442},{"stretchy":1148},[1443],{"type":72,"value":1162},{"type":67,"tag":1146,"props":1445,"children":1446},{},[1447],{"type":72,"value":1448},"×",{"type":67,"tag":1146,"props":1450,"children":1451},{"stretchy":1148},[1452],{"type":72,"value":1151},{"type":67,"tag":1153,"props":1454,"children":1455},{},[1456],{"type":72,"value":806},{"type":67,"tag":1146,"props":1458,"children":1459},{},[1460],{"type":72,"value":1461},"+",{"type":67,"tag":1178,"props":1463,"children":1464},{},[1465],{"type":72,"value":443},{"type":67,"tag":1146,"props":1467,"children":1468},{"stretchy":1148},[1469],{"type":72,"value":1162},{"type":67,"tag":1188,"props":1471,"children":1472},{"encoding":1190},[1473],{"type":72,"value":1474},"\\text{House Edge} = 1 - P(\\text{Win}) \\times (\\text{Payout} + 1)\n",{"type":67,"tag":1116,"props":1476,"children":1478},{"className":1477,"ariaHidden":1198},[1197],[1479,1510,1539,1584,1619],{"type":67,"tag":1116,"props":1480,"children":1482},{"className":1481},[1203],[1483,1488,1497,1501,1506],{"type":67,"tag":1116,"props":1484,"children":1487},{"className":1485,"style":1486},[1208],"height:0.8889em;vertical-align:-0.1944em;",[],{"type":67,"tag":1116,"props":1489,"children":1491},{"className":1490},[1214,72],[1492],{"type":67,"tag":1116,"props":1493,"children":1495},{"className":1494},[1214],[1496],{"type":72,"value":1414},{"type":67,"tag":1116,"props":1498,"children":1500},{"className":1499,"style":1244},[1243],[],{"type":67,"tag":1116,"props":1502,"children":1504},{"className":1503},[1249],[1505],{"type":72,"value":1167},{"type":67,"tag":1116,"props":1507,"children":1509},{"className":1508,"style":1244},[1243],[],{"type":67,"tag":1116,"props":1511,"children":1513},{"className":1512},[1203],[1514,1519,1524,1529,1535],{"type":67,"tag":1116,"props":1515,"children":1518},{"className":1516,"style":1517},[1208],"height:0.7278em;vertical-align:-0.0833em;",[],{"type":67,"tag":1116,"props":1520,"children":1522},{"className":1521},[1214],[1523],{"type":72,"value":443},{"type":67,"tag":1116,"props":1525,"children":1528},{"className":1526,"style":1527},[1243],"margin-right:0.2222em;",[],{"type":67,"tag":1116,"props":1530,"children":1533},{"className":1531},[1532],"mbin",[1534],{"type":72,"value":1427},{"type":67,"tag":1116,"props":1536,"children":1538},{"className":1537,"style":1527},[1243],[],{"type":67,"tag":1116,"props":1540,"children":1542},{"className":1541},[1203],[1543,1547,1552,1557,1566,1571,1575,1580],{"type":67,"tag":1116,"props":1544,"children":1546},{"className":1545,"style":1209},[1208],[],{"type":67,"tag":1116,"props":1548,"children":1550},{"className":1549,"style":1216},[1214,1215],[1551],{"type":72,"value":1144},{"type":67,"tag":1116,"props":1553,"children":1555},{"className":1554},[1222],[1556],{"type":72,"value":1151},{"type":67,"tag":1116,"props":1558,"children":1560},{"className":1559},[1214,72],[1561],{"type":67,"tag":1116,"props":1562,"children":1564},{"className":1563},[1214],[1565],{"type":72,"value":1157},{"type":67,"tag":1116,"props":1567,"children":1569},{"className":1568},[1237],[1570],{"type":72,"value":1162},{"type":67,"tag":1116,"props":1572,"children":1574},{"className":1573,"style":1527},[1243],[],{"type":67,"tag":1116,"props":1576,"children":1578},{"className":1577},[1532],[1579],{"type":72,"value":1448},{"type":67,"tag":1116,"props":1581,"children":1583},{"className":1582,"style":1527},[1243],[],{"type":67,"tag":1116,"props":1585,"children":1587},{"className":1586},[1203],[1588,1592,1597,1606,1610,1615],{"type":67,"tag":1116,"props":1589,"children":1591},{"className":1590,"style":1209},[1208],[],{"type":67,"tag":1116,"props":1593,"children":1595},{"className":1594},[1222],[1596],{"type":72,"value":1151},{"type":67,"tag":1116,"props":1598,"children":1600},{"className":1599},[1214,72],[1601],{"type":67,"tag":1116,"props":1602,"children":1604},{"className":1603},[1214],[1605],{"type":72,"value":806},{"type":67,"tag":1116,"props":1607,"children":1609},{"className":1608,"style":1527},[1243],[],{"type":67,"tag":1116,"props":1611,"children":1613},{"className":1612},[1532],[1614],{"type":72,"value":1461},{"type":67,"tag":1116,"props":1616,"children":1618},{"className":1617,"style":1527},[1243],[],{"type":67,"tag":1116,"props":1620,"children":1622},{"className":1621},[1203],[1623,1627,1632],{"type":67,"tag":1116,"props":1624,"children":1626},{"className":1625,"style":1209},[1208],[],{"type":67,"tag":1116,"props":1628,"children":1630},{"className":1629},[1214],[1631],{"type":72,"value":443},{"type":67,"tag":1116,"props":1633,"children":1635},{"className":1634},[1237],[1636],{"type":72,"value":1162},{"type":67,"tag":74,"props":1638,"children":1639},{},[1640],{"type":67,"tag":78,"props":1641,"children":1642},{},[1643],{"type":72,"value":1644},"Example: Straight bet",{"type":67,"tag":91,"props":1646,"children":1647},{},[1648,1653,1658,1663],{"type":67,"tag":95,"props":1649,"children":1650},{},[1651],{"type":72,"value":1652},"P(Win) = 1\u002F37 = 2.70%",{"type":67,"tag":95,"props":1654,"children":1655},{},[1656],{"type":72,"value":1657},"Payout = 35:1",{"type":67,"tag":95,"props":1659,"children":1660},{},[1661],{"type":72,"value":1662},"Expected return = (1\u002F37) × 36 = 97.30%",{"type":67,"tag":95,"props":1664,"children":1665},{},[1666],{"type":72,"value":1667},"House edge = 2.70%",{"type":67,"tag":166,"props":1669,"children":1671},{"id":1670},"bet-summary-table",[1672],{"type":72,"value":1673},"Bet Summary Table",{"type":67,"tag":228,"props":1675,"children":1676},{},[1677,1702],{"type":67,"tag":232,"props":1678,"children":1679},{},[1680],{"type":67,"tag":236,"props":1681,"children":1682},{},[1683,1688,1693,1697],{"type":67,"tag":240,"props":1684,"children":1685},{},[1686],{"type":72,"value":1687},"Bet Type",{"type":67,"tag":240,"props":1689,"children":1690},{},[1691],{"type":72,"value":1692},"Numbers Covered",{"type":67,"tag":240,"props":1694,"children":1695},{},[1696],{"type":72,"value":811},{"type":67,"tag":240,"props":1698,"children":1699},{},[1700],{"type":72,"value":1701},"American Odds",{"type":67,"tag":251,"props":1703,"children":1704},{},[1705,1725,1744,1765,1786,1807,1829],{"type":67,"tag":236,"props":1706,"children":1707},{},[1708,1712,1716,1720],{"type":67,"tag":258,"props":1709,"children":1710},{},[1711],{"type":72,"value":822},{"type":67,"tag":258,"props":1713,"children":1714},{},[1715],{"type":72,"value":443},{"type":67,"tag":258,"props":1717,"children":1718},{},[1719],{"type":72,"value":710},{"type":67,"tag":258,"props":1721,"children":1722},{},[1723],{"type":72,"value":1724},"2.63%",{"type":67,"tag":236,"props":1726,"children":1727},{},[1728,1732,1736,1740],{"type":67,"tag":258,"props":1729,"children":1730},{},[1731],{"type":72,"value":844},{"type":67,"tag":258,"props":1733,"children":1734},{},[1735],{"type":72,"value":539},{"type":67,"tag":258,"props":1737,"children":1738},{},[1739],{"type":72,"value":859},{"type":67,"tag":258,"props":1741,"children":1742},{},[1743],{"type":72,"value":732},{"type":67,"tag":236,"props":1745,"children":1746},{},[1747,1751,1756,1760],{"type":67,"tag":258,"props":1748,"children":1749},{},[1750],{"type":72,"value":867},{"type":67,"tag":258,"props":1752,"children":1753},{},[1754],{"type":72,"value":1755},"3",{"type":67,"tag":258,"props":1757,"children":1758},{},[1759],{"type":72,"value":882},{"type":67,"tag":258,"props":1761,"children":1762},{},[1763],{"type":72,"value":1764},"7.89%",{"type":67,"tag":236,"props":1766,"children":1767},{},[1768,1772,1777,1781],{"type":67,"tag":258,"props":1769,"children":1770},{},[1771],{"type":72,"value":890},{"type":67,"tag":258,"props":1773,"children":1774},{},[1775],{"type":72,"value":1776},"4",{"type":67,"tag":258,"props":1778,"children":1779},{},[1780],{"type":72,"value":905},{"type":67,"tag":258,"props":1782,"children":1783},{},[1784],{"type":72,"value":1785},"10.53%",{"type":67,"tag":236,"props":1787,"children":1788},{},[1789,1793,1798,1802],{"type":67,"tag":258,"props":1790,"children":1791},{},[1792],{"type":72,"value":913},{"type":67,"tag":258,"props":1794,"children":1795},{},[1796],{"type":72,"value":1797},"6",{"type":67,"tag":258,"props":1799,"children":1800},{},[1801],{"type":72,"value":928},{"type":67,"tag":258,"props":1803,"children":1804},{},[1805],{"type":72,"value":1806},"15.79%",{"type":67,"tag":236,"props":1808,"children":1809},{},[1810,1815,1820,1824],{"type":67,"tag":258,"props":1811,"children":1812},{},[1813],{"type":72,"value":1814},"Dozen\u002FColumn",{"type":67,"tag":258,"props":1816,"children":1817},{},[1818],{"type":72,"value":1819},"12",{"type":67,"tag":258,"props":1821,"children":1822},{},[1823],{"type":72,"value":1087},{"type":67,"tag":258,"props":1825,"children":1826},{},[1827],{"type":72,"value":1828},"31.58%",{"type":67,"tag":236,"props":1830,"children":1831},{},[1832,1837,1841,1845],{"type":67,"tag":258,"props":1833,"children":1834},{},[1835],{"type":72,"value":1836},"Even-money",{"type":67,"tag":258,"props":1838,"children":1839},{},[1840],{"type":72,"value":461},{"type":67,"tag":258,"props":1842,"children":1843},{},[1844],{"type":72,"value":1023},{"type":67,"tag":258,"props":1846,"children":1847},{},[1848],{"type":72,"value":1849},"47.37%",{"type":67,"tag":68,"props":1851,"children":1853},{"id":1852},"house-edge-explained-house-edge",[1854],{"type":72,"value":1855},"House Edge Explained {#house-edge}",{"type":67,"tag":166,"props":1857,"children":1859},{"id":1858},"why-the-house-wins",[1860],{"type":72,"value":1861},"Why the House Wins",{"type":67,"tag":1116,"props":1863,"children":1868},{"className":1864,"title":1866,"style":1867},[1865],"katex-error","ParseError: KaTeX parse error: Expected '$', got 'EOF' at position 28: …ed Value per $1}̲ = P(\\text{Win}…","color:#cc0000",[1869],{"type":72,"value":1870},"\\text{Expected Value per $1} = P(\\text{Win}) \\times \\text{Payout} - P(\\text{Lose}) \\times \\text{Stake}\n",{"type":67,"tag":74,"props":1872,"children":1873},{},[1874],{"type":67,"tag":78,"props":1875,"children":1876},{},[1877],{"type":72,"value":1878},"European, straight bet:",{"type":67,"tag":1116,"props":1880,"children":1882},{"className":1881},[1119],[1883,1986],{"type":67,"tag":1116,"props":1884,"children":1886},{"className":1885},[1124],[1887],{"type":67,"tag":1127,"props":1888,"children":1889},{"xmlns":1129},[1890],{"type":67,"tag":1132,"props":1891,"children":1892},{},[1893,1981],{"type":67,"tag":1136,"props":1894,"children":1895},{},[1896,1901,1905,1916,1920,1925,1929,1941,1945,1949,1953,1957,1962,1966,1970,1975],{"type":67,"tag":1153,"props":1897,"children":1898},{},[1899],{"type":72,"value":1900},"EV",{"type":67,"tag":1146,"props":1902,"children":1903},{},[1904],{"type":72,"value":1167},{"type":67,"tag":1169,"props":1906,"children":1907},{},[1908,1912],{"type":67,"tag":1178,"props":1909,"children":1910},{},[1911],{"type":72,"value":443},{"type":67,"tag":1178,"props":1913,"children":1914},{},[1915],{"type":72,"value":701},{"type":67,"tag":1146,"props":1917,"children":1918},{},[1919],{"type":72,"value":1448},{"type":67,"tag":1178,"props":1921,"children":1922},{},[1923],{"type":72,"value":1924},"35",{"type":67,"tag":1146,"props":1926,"children":1927},{},[1928],{"type":72,"value":1427},{"type":67,"tag":1169,"props":1930,"children":1931},{},[1932,1937],{"type":67,"tag":1178,"props":1933,"children":1934},{},[1935],{"type":72,"value":1936},"36",{"type":67,"tag":1178,"props":1938,"children":1939},{},[1940],{"type":72,"value":701},{"type":67,"tag":1146,"props":1942,"children":1943},{},[1944],{"type":72,"value":1448},{"type":67,"tag":1178,"props":1946,"children":1947},{},[1948],{"type":72,"value":443},{"type":67,"tag":1146,"props":1950,"children":1951},{},[1952],{"type":72,"value":1167},{"type":67,"tag":1146,"props":1954,"children":1955},{},[1956],{"type":72,"value":1427},{"type":67,"tag":1178,"props":1958,"children":1959},{},[1960],{"type":72,"value":1961},"0.027",{"type":67,"tag":1146,"props":1963,"children":1964},{},[1965],{"type":72,"value":1167},{"type":67,"tag":1146,"props":1967,"children":1968},{},[1969],{"type":72,"value":1427},{"type":67,"tag":1178,"props":1971,"children":1972},{},[1973],{"type":72,"value":1974},"2.70",{"type":67,"tag":1140,"props":1976,"children":1978},{"mathvariant":1977},"normal",[1979],{"type":72,"value":1980},"%",{"type":67,"tag":1188,"props":1982,"children":1983},{"encoding":1190},[1984],{"type":72,"value":1985},"\\text{EV} = \\frac{1}{37} \\times 35 - \\frac{36}{37} \\times 1 = -0.027 = -2.70\\%\n",{"type":67,"tag":1116,"props":1987,"children":1989},{"className":1988,"ariaHidden":1198},[1197],[1990,2021,2140,2166,2282,2309,2340],{"type":67,"tag":1116,"props":1991,"children":1993},{"className":1992},[1203],[1994,1999,2008,2012,2017],{"type":67,"tag":1116,"props":1995,"children":1998},{"className":1996,"style":1997},[1208],"height:0.6833em;",[],{"type":67,"tag":1116,"props":2000,"children":2002},{"className":2001},[1214,72],[2003],{"type":67,"tag":1116,"props":2004,"children":2006},{"className":2005},[1214],[2007],{"type":72,"value":1900},{"type":67,"tag":1116,"props":2009,"children":2011},{"className":2010,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2013,"children":2015},{"className":2014},[1249],[2016],{"type":72,"value":1167},{"type":67,"tag":1116,"props":2018,"children":2020},{"className":2019,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2022,"children":2024},{"className":2023},[1203],[2025,2030,2127,2131,2136],{"type":67,"tag":1116,"props":2026,"children":2029},{"className":2027,"style":2028},[1208],"height:1.1901em;vertical-align:-0.345em;",[],{"type":67,"tag":1116,"props":2031,"children":2033},{"className":2032},[1214],[2034,2038,2123],{"type":67,"tag":1116,"props":2035,"children":2037},{"className":2036},[1222,1272],[],{"type":67,"tag":1116,"props":2039,"children":2041},{"className":2040},[1169],[2042],{"type":67,"tag":1116,"props":2043,"children":2045},{"className":2044},[1281,1282],[2046,2112],{"type":67,"tag":1116,"props":2047,"children":2049},{"className":2048},[1287],[2050,2107],{"type":67,"tag":1116,"props":2051,"children":2054},{"className":2052,"style":2053},[1292],"height:0.8451em;",[2055,2075,2086],{"type":67,"tag":1116,"props":2056,"children":2057},{"style":1297},[2058,2062],{"type":67,"tag":1116,"props":2059,"children":2061},{"className":2060,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2063,"children":2065},{"className":2064},[1308,1309,1310,1311],[2066],{"type":67,"tag":1116,"props":2067,"children":2069},{"className":2068},[1214,1311],[2070],{"type":67,"tag":1116,"props":2071,"children":2073},{"className":2072},[1214,1311],[2074],{"type":72,"value":701},{"type":67,"tag":1116,"props":2076,"children":2077},{"style":1324},[2078,2082],{"type":67,"tag":1116,"props":2079,"children":2081},{"className":2080,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2083,"children":2085},{"className":2084,"style":1334},[1333],[],{"type":67,"tag":1116,"props":2087,"children":2089},{"style":2088},"top:-3.394em;",[2090,2094],{"type":67,"tag":1116,"props":2091,"children":2093},{"className":2092,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2095,"children":2097},{"className":2096},[1308,1309,1310,1311],[2098],{"type":67,"tag":1116,"props":2099,"children":2101},{"className":2100},[1214,1311],[2102],{"type":67,"tag":1116,"props":2103,"children":2105},{"className":2104},[1214,1311],[2106],{"type":72,"value":443},{"type":67,"tag":1116,"props":2108,"children":2110},{"className":2109},[1364],[2111],{"type":72,"value":1367},{"type":67,"tag":1116,"props":2113,"children":2115},{"className":2114},[1287],[2116],{"type":67,"tag":1116,"props":2117,"children":2119},{"className":2118,"style":1375},[1292],[2120],{"type":67,"tag":1116,"props":2121,"children":2122},{},[],{"type":67,"tag":1116,"props":2124,"children":2126},{"className":2125},[1237,1272],[],{"type":67,"tag":1116,"props":2128,"children":2130},{"className":2129,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2132,"children":2134},{"className":2133},[1532],[2135],{"type":72,"value":1448},{"type":67,"tag":1116,"props":2137,"children":2139},{"className":2138,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2141,"children":2143},{"className":2142},[1203],[2144,2148,2153,2157,2162],{"type":67,"tag":1116,"props":2145,"children":2147},{"className":2146,"style":1517},[1208],[],{"type":67,"tag":1116,"props":2149,"children":2151},{"className":2150},[1214],[2152],{"type":72,"value":1924},{"type":67,"tag":1116,"props":2154,"children":2156},{"className":2155,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2158,"children":2160},{"className":2159},[1532],[2161],{"type":72,"value":1427},{"type":67,"tag":1116,"props":2163,"children":2165},{"className":2164,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2167,"children":2169},{"className":2168},[1203],[2170,2174,2269,2273,2278],{"type":67,"tag":1116,"props":2171,"children":2173},{"className":2172,"style":2028},[1208],[],{"type":67,"tag":1116,"props":2175,"children":2177},{"className":2176},[1214],[2178,2182,2265],{"type":67,"tag":1116,"props":2179,"children":2181},{"className":2180},[1222,1272],[],{"type":67,"tag":1116,"props":2183,"children":2185},{"className":2184},[1169],[2186],{"type":67,"tag":1116,"props":2187,"children":2189},{"className":2188},[1281,1282],[2190,2254],{"type":67,"tag":1116,"props":2191,"children":2193},{"className":2192},[1287],[2194,2249],{"type":67,"tag":1116,"props":2195,"children":2197},{"className":2196,"style":2053},[1292],[2198,2218,2229],{"type":67,"tag":1116,"props":2199,"children":2200},{"style":1297},[2201,2205],{"type":67,"tag":1116,"props":2202,"children":2204},{"className":2203,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2206,"children":2208},{"className":2207},[1308,1309,1310,1311],[2209],{"type":67,"tag":1116,"props":2210,"children":2212},{"className":2211},[1214,1311],[2213],{"type":67,"tag":1116,"props":2214,"children":2216},{"className":2215},[1214,1311],[2217],{"type":72,"value":701},{"type":67,"tag":1116,"props":2219,"children":2220},{"style":1324},[2221,2225],{"type":67,"tag":1116,"props":2222,"children":2224},{"className":2223,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2226,"children":2228},{"className":2227,"style":1334},[1333],[],{"type":67,"tag":1116,"props":2230,"children":2231},{"style":2088},[2232,2236],{"type":67,"tag":1116,"props":2233,"children":2235},{"className":2234,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2237,"children":2239},{"className":2238},[1308,1309,1310,1311],[2240],{"type":67,"tag":1116,"props":2241,"children":2243},{"className":2242},[1214,1311],[2244],{"type":67,"tag":1116,"props":2245,"children":2247},{"className":2246},[1214,1311],[2248],{"type":72,"value":1936},{"type":67,"tag":1116,"props":2250,"children":2252},{"className":2251},[1364],[2253],{"type":72,"value":1367},{"type":67,"tag":1116,"props":2255,"children":2257},{"className":2256},[1287],[2258],{"type":67,"tag":1116,"props":2259,"children":2261},{"className":2260,"style":1375},[1292],[2262],{"type":67,"tag":1116,"props":2263,"children":2264},{},[],{"type":67,"tag":1116,"props":2266,"children":2268},{"className":2267},[1237,1272],[],{"type":67,"tag":1116,"props":2270,"children":2272},{"className":2271,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2274,"children":2276},{"className":2275},[1532],[2277],{"type":72,"value":1448},{"type":67,"tag":1116,"props":2279,"children":2281},{"className":2280,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2283,"children":2285},{"className":2284},[1203],[2286,2291,2296,2300,2305],{"type":67,"tag":1116,"props":2287,"children":2290},{"className":2288,"style":2289},[1208],"height:0.6444em;",[],{"type":67,"tag":1116,"props":2292,"children":2294},{"className":2293},[1214],[2295],{"type":72,"value":443},{"type":67,"tag":1116,"props":2297,"children":2299},{"className":2298,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2301,"children":2303},{"className":2302},[1249],[2304],{"type":72,"value":1167},{"type":67,"tag":1116,"props":2306,"children":2308},{"className":2307,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2310,"children":2312},{"className":2311},[1203],[2313,2317,2322,2327,2331,2336],{"type":67,"tag":1116,"props":2314,"children":2316},{"className":2315,"style":1517},[1208],[],{"type":67,"tag":1116,"props":2318,"children":2320},{"className":2319},[1214],[2321],{"type":72,"value":1427},{"type":67,"tag":1116,"props":2323,"children":2325},{"className":2324},[1214],[2326],{"type":72,"value":1961},{"type":67,"tag":1116,"props":2328,"children":2330},{"className":2329,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2332,"children":2334},{"className":2333},[1249],[2335],{"type":72,"value":1167},{"type":67,"tag":1116,"props":2337,"children":2339},{"className":2338,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2341,"children":2343},{"className":2342},[1203],[2344,2349,2354],{"type":67,"tag":1116,"props":2345,"children":2348},{"className":2346,"style":2347},[1208],"height:0.8333em;vertical-align:-0.0833em;",[],{"type":67,"tag":1116,"props":2350,"children":2352},{"className":2351},[1214],[2353],{"type":72,"value":1427},{"type":67,"tag":1116,"props":2355,"children":2357},{"className":2356},[1214],[2358],{"type":72,"value":710},{"type":67,"tag":74,"props":2360,"children":2361},{},[2362],{"type":67,"tag":78,"props":2363,"children":2364},{},[2365],{"type":72,"value":2366},"American, straight bet:",{"type":67,"tag":1116,"props":2368,"children":2370},{"className":2369},[1119],[2371,2469],{"type":67,"tag":1116,"props":2372,"children":2374},{"className":2373},[1124],[2375],{"type":67,"tag":1127,"props":2376,"children":2377},{"xmlns":1129},[2378],{"type":67,"tag":1132,"props":2379,"children":2380},{},[2381,2464],{"type":67,"tag":1136,"props":2382,"children":2383},{},[2384,2388,2392,2403,2407,2411,2415,2426,2430,2434,2438,2442,2447,2451,2455,2460],{"type":67,"tag":1153,"props":2385,"children":2386},{},[2387],{"type":72,"value":1900},{"type":67,"tag":1146,"props":2389,"children":2390},{},[2391],{"type":72,"value":1167},{"type":67,"tag":1169,"props":2393,"children":2394},{},[2395,2399],{"type":67,"tag":1178,"props":2396,"children":2397},{},[2398],{"type":72,"value":443},{"type":67,"tag":1178,"props":2400,"children":2401},{},[2402],{"type":72,"value":723},{"type":67,"tag":1146,"props":2404,"children":2405},{},[2406],{"type":72,"value":1448},{"type":67,"tag":1178,"props":2408,"children":2409},{},[2410],{"type":72,"value":1924},{"type":67,"tag":1146,"props":2412,"children":2413},{},[2414],{"type":72,"value":1427},{"type":67,"tag":1169,"props":2416,"children":2417},{},[2418,2422],{"type":67,"tag":1178,"props":2419,"children":2420},{},[2421],{"type":72,"value":701},{"type":67,"tag":1178,"props":2423,"children":2424},{},[2425],{"type":72,"value":723},{"type":67,"tag":1146,"props":2427,"children":2428},{},[2429],{"type":72,"value":1448},{"type":67,"tag":1178,"props":2431,"children":2432},{},[2433],{"type":72,"value":443},{"type":67,"tag":1146,"props":2435,"children":2436},{},[2437],{"type":72,"value":1167},{"type":67,"tag":1146,"props":2439,"children":2440},{},[2441],{"type":72,"value":1427},{"type":67,"tag":1178,"props":2443,"children":2444},{},[2445],{"type":72,"value":2446},"0.053",{"type":67,"tag":1146,"props":2448,"children":2449},{},[2450],{"type":72,"value":1167},{"type":67,"tag":1146,"props":2452,"children":2453},{},[2454],{"type":72,"value":1427},{"type":67,"tag":1178,"props":2456,"children":2457},{},[2458],{"type":72,"value":2459},"5.26",{"type":67,"tag":1140,"props":2461,"children":2462},{"mathvariant":1977},[2463],{"type":72,"value":1980},{"type":67,"tag":1188,"props":2465,"children":2466},{"encoding":1190},[2467],{"type":72,"value":2468},"\\text{EV} = \\frac{1}{38} \\times 35 - \\frac{37}{38} \\times 1 = -0.053 = -5.26\\%\n",{"type":67,"tag":1116,"props":2470,"children":2472},{"className":2471,"ariaHidden":1198},[1197],[2473,2503,2619,2645,2761,2787,2818],{"type":67,"tag":1116,"props":2474,"children":2476},{"className":2475},[1203],[2477,2481,2490,2494,2499],{"type":67,"tag":1116,"props":2478,"children":2480},{"className":2479,"style":1997},[1208],[],{"type":67,"tag":1116,"props":2482,"children":2484},{"className":2483},[1214,72],[2485],{"type":67,"tag":1116,"props":2486,"children":2488},{"className":2487},[1214],[2489],{"type":72,"value":1900},{"type":67,"tag":1116,"props":2491,"children":2493},{"className":2492,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2495,"children":2497},{"className":2496},[1249],[2498],{"type":72,"value":1167},{"type":67,"tag":1116,"props":2500,"children":2502},{"className":2501,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2504,"children":2506},{"className":2505},[1203],[2507,2511,2606,2610,2615],{"type":67,"tag":1116,"props":2508,"children":2510},{"className":2509,"style":2028},[1208],[],{"type":67,"tag":1116,"props":2512,"children":2514},{"className":2513},[1214],[2515,2519,2602],{"type":67,"tag":1116,"props":2516,"children":2518},{"className":2517},[1222,1272],[],{"type":67,"tag":1116,"props":2520,"children":2522},{"className":2521},[1169],[2523],{"type":67,"tag":1116,"props":2524,"children":2526},{"className":2525},[1281,1282],[2527,2591],{"type":67,"tag":1116,"props":2528,"children":2530},{"className":2529},[1287],[2531,2586],{"type":67,"tag":1116,"props":2532,"children":2534},{"className":2533,"style":2053},[1292],[2535,2555,2566],{"type":67,"tag":1116,"props":2536,"children":2537},{"style":1297},[2538,2542],{"type":67,"tag":1116,"props":2539,"children":2541},{"className":2540,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2543,"children":2545},{"className":2544},[1308,1309,1310,1311],[2546],{"type":67,"tag":1116,"props":2547,"children":2549},{"className":2548},[1214,1311],[2550],{"type":67,"tag":1116,"props":2551,"children":2553},{"className":2552},[1214,1311],[2554],{"type":72,"value":723},{"type":67,"tag":1116,"props":2556,"children":2557},{"style":1324},[2558,2562],{"type":67,"tag":1116,"props":2559,"children":2561},{"className":2560,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2563,"children":2565},{"className":2564,"style":1334},[1333],[],{"type":67,"tag":1116,"props":2567,"children":2568},{"style":2088},[2569,2573],{"type":67,"tag":1116,"props":2570,"children":2572},{"className":2571,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2574,"children":2576},{"className":2575},[1308,1309,1310,1311],[2577],{"type":67,"tag":1116,"props":2578,"children":2580},{"className":2579},[1214,1311],[2581],{"type":67,"tag":1116,"props":2582,"children":2584},{"className":2583},[1214,1311],[2585],{"type":72,"value":443},{"type":67,"tag":1116,"props":2587,"children":2589},{"className":2588},[1364],[2590],{"type":72,"value":1367},{"type":67,"tag":1116,"props":2592,"children":2594},{"className":2593},[1287],[2595],{"type":67,"tag":1116,"props":2596,"children":2598},{"className":2597,"style":1375},[1292],[2599],{"type":67,"tag":1116,"props":2600,"children":2601},{},[],{"type":67,"tag":1116,"props":2603,"children":2605},{"className":2604},[1237,1272],[],{"type":67,"tag":1116,"props":2607,"children":2609},{"className":2608,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2611,"children":2613},{"className":2612},[1532],[2614],{"type":72,"value":1448},{"type":67,"tag":1116,"props":2616,"children":2618},{"className":2617,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2620,"children":2622},{"className":2621},[1203],[2623,2627,2632,2636,2641],{"type":67,"tag":1116,"props":2624,"children":2626},{"className":2625,"style":1517},[1208],[],{"type":67,"tag":1116,"props":2628,"children":2630},{"className":2629},[1214],[2631],{"type":72,"value":1924},{"type":67,"tag":1116,"props":2633,"children":2635},{"className":2634,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2637,"children":2639},{"className":2638},[1532],[2640],{"type":72,"value":1427},{"type":67,"tag":1116,"props":2642,"children":2644},{"className":2643,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2646,"children":2648},{"className":2647},[1203],[2649,2653,2748,2752,2757],{"type":67,"tag":1116,"props":2650,"children":2652},{"className":2651,"style":2028},[1208],[],{"type":67,"tag":1116,"props":2654,"children":2656},{"className":2655},[1214],[2657,2661,2744],{"type":67,"tag":1116,"props":2658,"children":2660},{"className":2659},[1222,1272],[],{"type":67,"tag":1116,"props":2662,"children":2664},{"className":2663},[1169],[2665],{"type":67,"tag":1116,"props":2666,"children":2668},{"className":2667},[1281,1282],[2669,2733],{"type":67,"tag":1116,"props":2670,"children":2672},{"className":2671},[1287],[2673,2728],{"type":67,"tag":1116,"props":2674,"children":2676},{"className":2675,"style":2053},[1292],[2677,2697,2708],{"type":67,"tag":1116,"props":2678,"children":2679},{"style":1297},[2680,2684],{"type":67,"tag":1116,"props":2681,"children":2683},{"className":2682,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2685,"children":2687},{"className":2686},[1308,1309,1310,1311],[2688],{"type":67,"tag":1116,"props":2689,"children":2691},{"className":2690},[1214,1311],[2692],{"type":67,"tag":1116,"props":2693,"children":2695},{"className":2694},[1214,1311],[2696],{"type":72,"value":723},{"type":67,"tag":1116,"props":2698,"children":2699},{"style":1324},[2700,2704],{"type":67,"tag":1116,"props":2701,"children":2703},{"className":2702,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2705,"children":2707},{"className":2706,"style":1334},[1333],[],{"type":67,"tag":1116,"props":2709,"children":2710},{"style":2088},[2711,2715],{"type":67,"tag":1116,"props":2712,"children":2714},{"className":2713,"style":1303},[1302],[],{"type":67,"tag":1116,"props":2716,"children":2718},{"className":2717},[1308,1309,1310,1311],[2719],{"type":67,"tag":1116,"props":2720,"children":2722},{"className":2721},[1214,1311],[2723],{"type":67,"tag":1116,"props":2724,"children":2726},{"className":2725},[1214,1311],[2727],{"type":72,"value":701},{"type":67,"tag":1116,"props":2729,"children":2731},{"className":2730},[1364],[2732],{"type":72,"value":1367},{"type":67,"tag":1116,"props":2734,"children":2736},{"className":2735},[1287],[2737],{"type":67,"tag":1116,"props":2738,"children":2740},{"className":2739,"style":1375},[1292],[2741],{"type":67,"tag":1116,"props":2742,"children":2743},{},[],{"type":67,"tag":1116,"props":2745,"children":2747},{"className":2746},[1237,1272],[],{"type":67,"tag":1116,"props":2749,"children":2751},{"className":2750,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2753,"children":2755},{"className":2754},[1532],[2756],{"type":72,"value":1448},{"type":67,"tag":1116,"props":2758,"children":2760},{"className":2759,"style":1527},[1243],[],{"type":67,"tag":1116,"props":2762,"children":2764},{"className":2763},[1203],[2765,2769,2774,2778,2783],{"type":67,"tag":1116,"props":2766,"children":2768},{"className":2767,"style":2289},[1208],[],{"type":67,"tag":1116,"props":2770,"children":2772},{"className":2771},[1214],[2773],{"type":72,"value":443},{"type":67,"tag":1116,"props":2775,"children":2777},{"className":2776,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2779,"children":2781},{"className":2780},[1249],[2782],{"type":72,"value":1167},{"type":67,"tag":1116,"props":2784,"children":2786},{"className":2785,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2788,"children":2790},{"className":2789},[1203],[2791,2795,2800,2805,2809,2814],{"type":67,"tag":1116,"props":2792,"children":2794},{"className":2793,"style":1517},[1208],[],{"type":67,"tag":1116,"props":2796,"children":2798},{"className":2797},[1214],[2799],{"type":72,"value":1427},{"type":67,"tag":1116,"props":2801,"children":2803},{"className":2802},[1214],[2804],{"type":72,"value":2446},{"type":67,"tag":1116,"props":2806,"children":2808},{"className":2807,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2810,"children":2812},{"className":2811},[1249],[2813],{"type":72,"value":1167},{"type":67,"tag":1116,"props":2815,"children":2817},{"className":2816,"style":1244},[1243],[],{"type":67,"tag":1116,"props":2819,"children":2821},{"className":2820},[1203],[2822,2826,2831],{"type":67,"tag":1116,"props":2823,"children":2825},{"className":2824,"style":2347},[1208],[],{"type":67,"tag":1116,"props":2827,"children":2829},{"className":2828},[1214],[2830],{"type":72,"value":1427},{"type":67,"tag":1116,"props":2832,"children":2834},{"className":2833},[1214],[2835],{"type":72,"value":732},{"type":67,"tag":166,"props":2837,"children":2839},{"id":2838},"why-zeros-create-the-edge",[2840],{"type":72,"value":2841},"Why Zeros Create the Edge",{"type":67,"tag":74,"props":2843,"children":2844},{},[2845],{"type":72,"value":2846},"Payouts are calculated as if zeros don't exist:",{"type":67,"tag":228,"props":2848,"children":2849},{},[2850,2866],{"type":67,"tag":232,"props":2851,"children":2852},{},[2853],{"type":67,"tag":236,"props":2854,"children":2855},{},[2856,2861],{"type":67,"tag":240,"props":2857,"children":2858},{},[2859],{"type":72,"value":2860},"Without Zero",{"type":67,"tag":240,"props":2862,"children":2863},{},[2864],{"type":72,"value":2865},"With Zero",{"type":67,"tag":251,"props":2867,"children":2868},{},[2869,2882,2895],{"type":67,"tag":236,"props":2870,"children":2871},{},[2872,2877],{"type":67,"tag":258,"props":2873,"children":2874},{},[2875],{"type":72,"value":2876},"36 numbers",{"type":67,"tag":258,"props":2878,"children":2879},{},[2880],{"type":72,"value":2881},"37 numbers",{"type":67,"tag":236,"props":2883,"children":2884},{},[2885,2890],{"type":67,"tag":258,"props":2886,"children":2887},{},[2888],{"type":72,"value":2889},"Fair odds = 35:1",{"type":67,"tag":258,"props":2891,"children":2892},{},[2893],{"type":72,"value":2894},"Actual odds = 36:1",{"type":67,"tag":236,"props":2896,"children":2897},{},[2898,2903],{"type":67,"tag":258,"props":2899,"children":2900},{},[2901],{"type":72,"value":2902},"Break-even",{"type":67,"tag":258,"props":2904,"children":2905},{},[2906],{"type":72,"value":2907},"House wins difference",{"type":67,"tag":74,"props":2909,"children":2910},{},[2911],{"type":72,"value":2912},"The zero(s) are \"house numbers\"—when they hit, almost all bets lose.",{"type":67,"tag":166,"props":2914,"children":2916},{"id":2915},"long-term-cost",[2917],{"type":72,"value":2918},"Long-Term Cost",{"type":67,"tag":228,"props":2920,"children":2921},{},[2922,2943],{"type":67,"tag":232,"props":2923,"children":2924},{},[2925],{"type":67,"tag":236,"props":2926,"children":2927},{},[2928,2933,2938],{"type":67,"tag":240,"props":2929,"children":2930},{},[2931],{"type":72,"value":2932},"Total Wagered",{"type":67,"tag":240,"props":2934,"children":2935},{},[2936],{"type":72,"value":2937},"European Loss",{"type":67,"tag":240,"props":2939,"children":2940},{},[2941],{"type":72,"value":2942},"American Loss",{"type":67,"tag":251,"props":2944,"children":2945},{},[2946,2964,2982],{"type":67,"tag":236,"props":2947,"children":2948},{},[2949,2954,2959],{"type":67,"tag":258,"props":2950,"children":2951},{},[2952],{"type":72,"value":2953},"$1,000",{"type":67,"tag":258,"props":2955,"children":2956},{},[2957],{"type":72,"value":2958},"$27",{"type":67,"tag":258,"props":2960,"children":2961},{},[2962],{"type":72,"value":2963},"$53",{"type":67,"tag":236,"props":2965,"children":2966},{},[2967,2972,2977],{"type":67,"tag":258,"props":2968,"children":2969},{},[2970],{"type":72,"value":2971},"$10,000",{"type":67,"tag":258,"props":2973,"children":2974},{},[2975],{"type":72,"value":2976},"$270",{"type":67,"tag":258,"props":2978,"children":2979},{},[2980],{"type":72,"value":2981},"$526",{"type":67,"tag":236,"props":2983,"children":2984},{},[2985,2990,2995],{"type":67,"tag":258,"props":2986,"children":2987},{},[2988],{"type":72,"value":2989},"$100,000",{"type":67,"tag":258,"props":2991,"children":2992},{},[2993],{"type":72,"value":2994},"$2,700",{"type":67,"tag":258,"props":2996,"children":2997},{},[2998],{"type":72,"value":2999},"$5,260",{"type":67,"tag":166,"props":3001,"children":3003},{"id":3002},"house-edge-by-wheel",[3004],{"type":72,"value":3005},"House Edge by Wheel",{"type":67,"tag":228,"props":3007,"children":3008},{},[3009,3028],{"type":67,"tag":232,"props":3010,"children":3011},{},[3012],{"type":67,"tag":236,"props":3013,"children":3014},{},[3015,3019,3023],{"type":67,"tag":240,"props":3016,"children":3017},{},[3018],{"type":72,"value":671},{"type":67,"tag":240,"props":3020,"children":3021},{},[3022],{"type":72,"value":56},{"type":67,"tag":240,"props":3024,"children":3025},{},[3026],{"type":72,"value":3027},"Per $100\u002Fhr",{"type":67,"tag":251,"props":3029,"children":3030},{},[3031,3048,3064],{"type":67,"tag":236,"props":3032,"children":3033},{},[3034,3038,3043],{"type":67,"tag":258,"props":3035,"children":3036},{},[3037],{"type":72,"value":740},{"type":67,"tag":258,"props":3039,"children":3040},{},[3041],{"type":72,"value":3042},"1.35%",{"type":67,"tag":258,"props":3044,"children":3045},{},[3046],{"type":72,"value":3047},"-$1.35",{"type":67,"tag":236,"props":3049,"children":3050},{},[3051,3055,3059],{"type":67,"tag":258,"props":3052,"children":3053},{},[3054],{"type":72,"value":696},{"type":67,"tag":258,"props":3056,"children":3057},{},[3058],{"type":72,"value":710},{"type":67,"tag":258,"props":3060,"children":3061},{},[3062],{"type":72,"value":3063},"-$2.70",{"type":67,"tag":236,"props":3065,"children":3066},{},[3067,3071,3075],{"type":67,"tag":258,"props":3068,"children":3069},{},[3070],{"type":72,"value":718},{"type":67,"tag":258,"props":3072,"children":3073},{},[3074],{"type":72,"value":732},{"type":67,"tag":258,"props":3076,"children":3077},{},[3078],{"type":72,"value":3079},"-$5.26",{"type":67,"tag":68,"props":3081,"children":3083},{"id":3082},"betting-systems-systems",[3084],{"type":72,"value":3085},"Betting Systems {#systems}",{"type":67,"tag":166,"props":3087,"children":3088},{"id":29},[3089],{"type":72,"value":59},{"type":67,"tag":74,"props":3091,"children":3092},{},[3093,3098],{"type":67,"tag":78,"props":3094,"children":3095},{},[3096],{"type":72,"value":3097},"Rule:",{"type":72,"value":3099}," Double bet after loss",{"type":67,"tag":228,"props":3101,"children":3102},{},[3103,3128],{"type":67,"tag":232,"props":3104,"children":3105},{},[3106],{"type":67,"tag":236,"props":3107,"children":3108},{},[3109,3114,3118,3123],{"type":67,"tag":240,"props":3110,"children":3111},{},[3112],{"type":72,"value":3113},"Round",{"type":67,"tag":240,"props":3115,"children":3116},{},[3117],{"type":72,"value":796},{"type":67,"tag":240,"props":3119,"children":3120},{},[3121],{"type":72,"value":3122},"Result",{"type":67,"tag":240,"props":3124,"children":3125},{},[3126],{"type":72,"value":3127},"P\u002FL",{"type":67,"tag":251,"props":3129,"children":3130},{},[3131,3153,3174],{"type":67,"tag":236,"props":3132,"children":3133},{},[3134,3138,3143,3148],{"type":67,"tag":258,"props":3135,"children":3136},{},[3137],{"type":72,"value":443},{"type":67,"tag":258,"props":3139,"children":3140},{},[3141],{"type":72,"value":3142},"$10",{"type":67,"tag":258,"props":3144,"children":3145},{},[3146],{"type":72,"value":3147},"Lose",{"type":67,"tag":258,"props":3149,"children":3150},{},[3151],{"type":72,"value":3152},"-$10",{"type":67,"tag":236,"props":3154,"children":3155},{},[3156,3160,3165,3169],{"type":67,"tag":258,"props":3157,"children":3158},{},[3159],{"type":72,"value":539},{"type":67,"tag":258,"props":3161,"children":3162},{},[3163],{"type":72,"value":3164},"$20",{"type":67,"tag":258,"props":3166,"children":3167},{},[3168],{"type":72,"value":3147},{"type":67,"tag":258,"props":3170,"children":3171},{},[3172],{"type":72,"value":3173},"-$30",{"type":67,"tag":236,"props":3175,"children":3176},{},[3177,3181,3186,3190],{"type":67,"tag":258,"props":3178,"children":3179},{},[3180],{"type":72,"value":1755},{"type":67,"tag":258,"props":3182,"children":3183},{},[3184],{"type":72,"value":3185},"$40",{"type":67,"tag":258,"props":3187,"children":3188},{},[3189],{"type":72,"value":1157},{"type":67,"tag":258,"props":3191,"children":3192},{},[3193],{"type":72,"value":3194},"+$10",{"type":67,"tag":74,"props":3196,"children":3197},{},[3198,3203],{"type":67,"tag":78,"props":3199,"children":3200},{},[3201],{"type":72,"value":3202},"Problem:",{"type":72,"value":3204}," Table limits and bankroll end the progression. Long-term EV unchanged.",{"type":67,"tag":166,"props":3206,"children":3208},{"id":3207},"dalembert",[3209],{"type":72,"value":3210},"D'Alembert",{"type":67,"tag":74,"props":3212,"children":3213},{},[3214,3218],{"type":67,"tag":78,"props":3215,"children":3216},{},[3217],{"type":72,"value":3097},{"type":72,"value":3219}," Increase by 1 unit after loss, decrease after win",{"type":67,"tag":228,"props":3221,"children":3222},{},[3223,3245],{"type":67,"tag":232,"props":3224,"children":3225},{},[3226],{"type":67,"tag":236,"props":3227,"children":3228},{},[3229,3233,3237,3241],{"type":67,"tag":240,"props":3230,"children":3231},{},[3232],{"type":72,"value":3113},{"type":67,"tag":240,"props":3234,"children":3235},{},[3236],{"type":72,"value":796},{"type":67,"tag":240,"props":3238,"children":3239},{},[3240],{"type":72,"value":3122},{"type":67,"tag":240,"props":3242,"children":3243},{},[3244],{"type":72,"value":3127},{"type":67,"tag":251,"props":3246,"children":3247},{},[3248,3267,3286,3307],{"type":67,"tag":236,"props":3249,"children":3250},{},[3251,3255,3259,3263],{"type":67,"tag":258,"props":3252,"children":3253},{},[3254],{"type":72,"value":443},{"type":67,"tag":258,"props":3256,"children":3257},{},[3258],{"type":72,"value":3142},{"type":67,"tag":258,"props":3260,"children":3261},{},[3262],{"type":72,"value":3147},{"type":67,"tag":258,"props":3264,"children":3265},{},[3266],{"type":72,"value":3152},{"type":67,"tag":236,"props":3268,"children":3269},{},[3270,3274,3278,3282],{"type":67,"tag":258,"props":3271,"children":3272},{},[3273],{"type":72,"value":539},{"type":67,"tag":258,"props":3275,"children":3276},{},[3277],{"type":72,"value":3164},{"type":67,"tag":258,"props":3279,"children":3280},{},[3281],{"type":72,"value":3147},{"type":67,"tag":258,"props":3283,"children":3284},{},[3285],{"type":72,"value":3173},{"type":67,"tag":236,"props":3287,"children":3288},{},[3289,3293,3298,3302],{"type":67,"tag":258,"props":3290,"children":3291},{},[3292],{"type":72,"value":1755},{"type":67,"tag":258,"props":3294,"children":3295},{},[3296],{"type":72,"value":3297},"$30",{"type":67,"tag":258,"props":3299,"children":3300},{},[3301],{"type":72,"value":1157},{"type":67,"tag":258,"props":3303,"children":3304},{},[3305],{"type":72,"value":3306},"$0",{"type":67,"tag":236,"props":3308,"children":3309},{},[3310,3314,3318,3322],{"type":67,"tag":258,"props":3311,"children":3312},{},[3313],{"type":72,"value":1776},{"type":67,"tag":258,"props":3315,"children":3316},{},[3317],{"type":72,"value":3164},{"type":67,"tag":258,"props":3319,"children":3320},{},[3321],{"type":72,"value":1157},{"type":67,"tag":258,"props":3323,"children":3324},{},[3325],{"type":72,"value":3326},"+$20",{"type":67,"tag":74,"props":3328,"children":3329},{},[3330,3334],{"type":67,"tag":78,"props":3331,"children":3332},{},[3333],{"type":72,"value":3202},{"type":72,"value":3335}," Still negative EV. Gentler than Martingale but same result.",{"type":67,"tag":166,"props":3337,"children":3339},{"id":3338},"fibonacci",[3340],{"type":72,"value":3341},"Fibonacci",{"type":67,"tag":74,"props":3343,"children":3344},{},[3345,3349],{"type":67,"tag":78,"props":3346,"children":3347},{},[3348],{"type":72,"value":3097},{"type":72,"value":3350}," Follow Fibonacci sequence after losses",{"type":67,"tag":228,"props":3352,"children":3353},{},[3354,3373],{"type":67,"tag":232,"props":3355,"children":3356},{},[3357],{"type":67,"tag":236,"props":3358,"children":3359},{},[3360,3364,3368],{"type":67,"tag":240,"props":3361,"children":3362},{},[3363],{"type":72,"value":3113},{"type":67,"tag":240,"props":3365,"children":3366},{},[3367],{"type":72,"value":796},{"type":67,"tag":240,"props":3369,"children":3370},{},[3371],{"type":72,"value":3372},"Sequence Position",{"type":67,"tag":251,"props":3374,"children":3375},{},[3376,3391,3406,3421,3436],{"type":67,"tag":236,"props":3377,"children":3378},{},[3379,3383,3387],{"type":67,"tag":258,"props":3380,"children":3381},{},[3382],{"type":72,"value":443},{"type":67,"tag":258,"props":3384,"children":3385},{},[3386],{"type":72,"value":3142},{"type":67,"tag":258,"props":3388,"children":3389},{},[3390],{"type":72,"value":443},{"type":67,"tag":236,"props":3392,"children":3393},{},[3394,3398,3402],{"type":67,"tag":258,"props":3395,"children":3396},{},[3397],{"type":72,"value":539},{"type":67,"tag":258,"props":3399,"children":3400},{},[3401],{"type":72,"value":3142},{"type":67,"tag":258,"props":3403,"children":3404},{},[3405],{"type":72,"value":443},{"type":67,"tag":236,"props":3407,"children":3408},{},[3409,3413,3417],{"type":67,"tag":258,"props":3410,"children":3411},{},[3412],{"type":72,"value":1755},{"type":67,"tag":258,"props":3414,"children":3415},{},[3416],{"type":72,"value":3164},{"type":67,"tag":258,"props":3418,"children":3419},{},[3420],{"type":72,"value":539},{"type":67,"tag":236,"props":3422,"children":3423},{},[3424,3428,3432],{"type":67,"tag":258,"props":3425,"children":3426},{},[3427],{"type":72,"value":1776},{"type":67,"tag":258,"props":3429,"children":3430},{},[3431],{"type":72,"value":3297},{"type":67,"tag":258,"props":3433,"children":3434},{},[3435],{"type":72,"value":1755},{"type":67,"tag":236,"props":3437,"children":3438},{},[3439,3444,3449],{"type":67,"tag":258,"props":3440,"children":3441},{},[3442],{"type":72,"value":3443},"5",{"type":67,"tag":258,"props":3445,"children":3446},{},[3447],{"type":72,"value":3448},"$50",{"type":67,"tag":258,"props":3450,"children":3451},{},[3452],{"type":72,"value":3443},{"type":67,"tag":74,"props":3454,"children":3455},{},[3456,3460],{"type":67,"tag":78,"props":3457,"children":3458},{},[3459],{"type":72,"value":3202},{"type":72,"value":3461}," Slower progression, same mathematical reality.",{"type":67,"tag":166,"props":3463,"children":3465},{"id":3464},"labouchere",[3466],{"type":72,"value":3467},"Labouchere",{"type":67,"tag":74,"props":3469,"children":3470},{},[3471,3475],{"type":67,"tag":78,"props":3472,"children":3473},{},[3474],{"type":72,"value":3097},{"type":72,"value":3476}," Complex cancellation system",{"type":67,"tag":74,"props":3478,"children":3479},{},[3480,3484],{"type":67,"tag":78,"props":3481,"children":3482},{},[3483],{"type":72,"value":3202},{"type":72,"value":3485}," Requires large bankroll, doesn't change house edge.",{"type":67,"tag":166,"props":3487,"children":3489},{"id":3488},"why-all-systems-fail",[3490],{"type":72,"value":3491},"Why All Systems Fail",{"type":67,"tag":1116,"props":3493,"children":3495},{"className":3494},[1119],[3496,3550],{"type":67,"tag":1116,"props":3497,"children":3499},{"className":3498},[1124],[3500],{"type":67,"tag":1127,"props":3501,"children":3502},{"xmlns":1129},[3503],{"type":67,"tag":1132,"props":3504,"children":3505},{},[3506,3545],{"type":67,"tag":1136,"props":3507,"children":3508},{},[3509,3514,3518,3523,3527,3532,3536,3540],{"type":67,"tag":1153,"props":3510,"children":3511},{},[3512],{"type":72,"value":3513},"System EV",{"type":67,"tag":1146,"props":3515,"children":3516},{},[3517],{"type":72,"value":1167},{"type":67,"tag":1146,"props":3519,"children":3520},{},[3521],{"type":72,"value":3522},"∑",{"type":67,"tag":1146,"props":3524,"children":3525},{"stretchy":1148},[3526],{"type":72,"value":1151},{"type":67,"tag":1153,"props":3528,"children":3529},{},[3530],{"type":72,"value":3531},"Individual Bet EVs",{"type":67,"tag":1146,"props":3533,"children":3534},{"stretchy":1148},[3535],{"type":72,"value":1162},{"type":67,"tag":1146,"props":3537,"children":3538},{},[3539],{"type":72,"value":1167},{"type":67,"tag":1153,"props":3541,"children":3542},{},[3543],{"type":72,"value":3544},"Negative",{"type":67,"tag":1188,"props":3546,"children":3547},{"encoding":1190},[3548],{"type":72,"value":3549},"\\text{System EV} = \\sum(\\text{Individual Bet EVs}) = \\text{Negative}\n",{"type":67,"tag":1116,"props":3551,"children":3553},{"className":3552,"ariaHidden":1198},[1197],[3554,3585,3634],{"type":67,"tag":1116,"props":3555,"children":3557},{"className":3556},[1203],[3558,3563,3572,3576,3581],{"type":67,"tag":1116,"props":3559,"children":3562},{"className":3560,"style":3561},[1208],"height:0.8778em;vertical-align:-0.1944em;",[],{"type":67,"tag":1116,"props":3564,"children":3566},{"className":3565},[1214,72],[3567],{"type":67,"tag":1116,"props":3568,"children":3570},{"className":3569},[1214],[3571],{"type":72,"value":3513},{"type":67,"tag":1116,"props":3573,"children":3575},{"className":3574,"style":1244},[1243],[],{"type":67,"tag":1116,"props":3577,"children":3579},{"className":3578},[1249],[3580],{"type":72,"value":1167},{"type":67,"tag":1116,"props":3582,"children":3584},{"className":3583,"style":1244},[1243],[],{"type":67,"tag":1116,"props":3586,"children":3588},{"className":3587},[1203],[3589,3593,3602,3607,3616,3621,3625,3630],{"type":67,"tag":1116,"props":3590,"children":3592},{"className":3591,"style":1209},[1208],[],{"type":67,"tag":1116,"props":3594,"children":3600},{"className":3595,"style":3599},[3596,3597,3598],"mop","op-symbol","small-op","position:relative;top:0em;",[3601],{"type":72,"value":3522},{"type":67,"tag":1116,"props":3603,"children":3605},{"className":3604},[1222],[3606],{"type":72,"value":1151},{"type":67,"tag":1116,"props":3608,"children":3610},{"className":3609},[1214,72],[3611],{"type":67,"tag":1116,"props":3612,"children":3614},{"className":3613},[1214],[3615],{"type":72,"value":3531},{"type":67,"tag":1116,"props":3617,"children":3619},{"className":3618},[1237],[3620],{"type":72,"value":1162},{"type":67,"tag":1116,"props":3622,"children":3624},{"className":3623,"style":1244},[1243],[],{"type":67,"tag":1116,"props":3626,"children":3628},{"className":3627},[1249],[3629],{"type":72,"value":1167},{"type":67,"tag":1116,"props":3631,"children":3633},{"className":3632,"style":1244},[1243],[],{"type":67,"tag":1116,"props":3635,"children":3637},{"className":3636},[1203],[3638,3642],{"type":67,"tag":1116,"props":3639,"children":3641},{"className":3640,"style":3561},[1208],[],{"type":67,"tag":1116,"props":3643,"children":3645},{"className":3644},[1214,72],[3646],{"type":67,"tag":1116,"props":3647,"children":3649},{"className":3648},[1214],[3650],{"type":72,"value":3544},{"type":67,"tag":74,"props":3652,"children":3653},{},[3654],{"type":72,"value":3655},"No combination of negative-EV bets produces positive EV.",{"type":67,"tag":228,"props":3657,"children":3658},{},[3659,3684],{"type":67,"tag":232,"props":3660,"children":3661},{},[3662],{"type":67,"tag":236,"props":3663,"children":3664},{},[3665,3670,3675,3680],{"type":67,"tag":240,"props":3666,"children":3667},{},[3668],{"type":72,"value":3669},"System",{"type":67,"tag":240,"props":3671,"children":3672},{},[3673],{"type":72,"value":3674},"Short-Term",{"type":67,"tag":240,"props":3676,"children":3677},{},[3678],{"type":72,"value":3679},"Long-Term",{"type":67,"tag":240,"props":3681,"children":3682},{},[3683],{"type":72,"value":1900},{"type":67,"tag":251,"props":3685,"children":3686},{},[3687,3708,3729,3750],{"type":67,"tag":236,"props":3688,"children":3689},{},[3690,3694,3699,3704],{"type":67,"tag":258,"props":3691,"children":3692},{},[3693],{"type":72,"value":59},{"type":67,"tag":258,"props":3695,"children":3696},{},[3697],{"type":72,"value":3698},"Win often",{"type":67,"tag":258,"props":3700,"children":3701},{},[3702],{"type":72,"value":3703},"Lose big",{"type":67,"tag":258,"props":3705,"children":3706},{},[3707],{"type":72,"value":3544},{"type":67,"tag":236,"props":3709,"children":3710},{},[3711,3715,3720,3725],{"type":67,"tag":258,"props":3712,"children":3713},{},[3714],{"type":72,"value":3210},{"type":67,"tag":258,"props":3716,"children":3717},{},[3718],{"type":72,"value":3719},"Steady",{"type":67,"tag":258,"props":3721,"children":3722},{},[3723],{"type":72,"value":3724},"Gradual loss",{"type":67,"tag":258,"props":3726,"children":3727},{},[3728],{"type":72,"value":3544},{"type":67,"tag":236,"props":3730,"children":3731},{},[3732,3736,3741,3746],{"type":67,"tag":258,"props":3733,"children":3734},{},[3735],{"type":72,"value":3341},{"type":67,"tag":258,"props":3737,"children":3738},{},[3739],{"type":72,"value":3740},"Moderate",{"type":67,"tag":258,"props":3742,"children":3743},{},[3744],{"type":72,"value":3745},"Loss",{"type":67,"tag":258,"props":3747,"children":3748},{},[3749],{"type":72,"value":3544},{"type":67,"tag":236,"props":3751,"children":3752},{},[3753,3758,3763,3767],{"type":67,"tag":258,"props":3754,"children":3755},{},[3756],{"type":72,"value":3757},"Flat betting",{"type":67,"tag":258,"props":3759,"children":3760},{},[3761],{"type":72,"value":3762},"Normal",{"type":67,"tag":258,"props":3764,"children":3765},{},[3766],{"type":72,"value":3745},{"type":67,"tag":258,"props":3768,"children":3769},{},[3770],{"type":72,"value":3544},{"type":67,"tag":74,"props":3772,"children":3773},{},[3774],{"type":67,"tag":78,"props":3775,"children":3776},{},[3777],{"type":72,"value":3778},"All systems have identical expected loss per dollar wagered.",{"type":67,"tag":68,"props":3780,"children":3782},{"id":3781},"roulette-strategy-strategy",[3783],{"type":72,"value":3784},"Roulette Strategy {#strategy}",{"type":67,"tag":166,"props":3786,"children":3788},{"id":3787},"strategy-1-choose-the-right-wheel",[3789],{"type":72,"value":3790},"Strategy 1: Choose the Right Wheel",{"type":67,"tag":228,"props":3792,"children":3793},{},[3794,3810],{"type":67,"tag":232,"props":3795,"children":3796},{},[3797],{"type":67,"tag":236,"props":3798,"children":3799},{},[3800,3805],{"type":67,"tag":240,"props":3801,"children":3802},{},[3803],{"type":72,"value":3804},"If Available",{"type":67,"tag":240,"props":3806,"children":3807},{},[3808],{"type":72,"value":3809},"Play This",{"type":67,"tag":251,"props":3811,"children":3812},{},[3813,3826,3838],{"type":67,"tag":236,"props":3814,"children":3815},{},[3816,3821],{"type":67,"tag":258,"props":3817,"children":3818},{},[3819],{"type":72,"value":3820},"French with La Partage",{"type":67,"tag":258,"props":3822,"children":3823},{},[3824],{"type":72,"value":3825},"French (1.35% edge)",{"type":67,"tag":236,"props":3827,"children":3828},{},[3829,3833],{"type":67,"tag":258,"props":3830,"children":3831},{},[3832],{"type":72,"value":696},{"type":67,"tag":258,"props":3834,"children":3835},{},[3836],{"type":72,"value":3837},"European (2.70% edge)",{"type":67,"tag":236,"props":3839,"children":3840},{},[3841,3846],{"type":67,"tag":258,"props":3842,"children":3843},{},[3844],{"type":72,"value":3845},"Only American",{"type":67,"tag":258,"props":3847,"children":3848},{},[3849],{"type":72,"value":3850},"Consider not playing",{"type":67,"tag":74,"props":3852,"children":3853},{},[3854],{"type":72,"value":3855},"Wheel selection is the only decision that affects your odds.",{"type":67,"tag":166,"props":3857,"children":3859},{"id":3858},"strategy-2-bankroll-management",[3860],{"type":72,"value":3861},"Strategy 2: Bankroll Management",{"type":67,"tag":1116,"props":3863,"children":3865},{"className":3864},[1119],[3866,3919],{"type":67,"tag":1116,"props":3867,"children":3869},{"className":3868},[1124],[3870],{"type":67,"tag":1127,"props":3871,"children":3872},{"xmlns":1129},[3873],{"type":67,"tag":1132,"props":3874,"children":3875},{},[3876,3914],{"type":67,"tag":1136,"props":3877,"children":3878},{},[3879,3884,3889],{"type":67,"tag":1153,"props":3880,"children":3881},{},[3882],{"type":72,"value":3883},"Sessions Before Ruin",{"type":67,"tag":1146,"props":3885,"children":3886},{},[3887],{"type":72,"value":3888},"≈",{"type":67,"tag":1169,"props":3890,"children":3891},{},[3892,3897],{"type":67,"tag":1153,"props":3893,"children":3894},{},[3895],{"type":72,"value":3896},"Bankroll",{"type":67,"tag":1136,"props":3898,"children":3899},{},[3900,3905,3909],{"type":67,"tag":1153,"props":3901,"children":3902},{},[3903],{"type":72,"value":3904},"Bet Size",{"type":67,"tag":1146,"props":3906,"children":3907},{},[3908],{"type":72,"value":1448},{"type":67,"tag":1178,"props":3910,"children":3911},{},[3912],{"type":72,"value":3913},"50",{"type":67,"tag":1188,"props":3915,"children":3916},{"encoding":1190},[3917],{"type":72,"value":3918},"\\text{Sessions Before Ruin} \\approx \\frac{\\text{Bankroll}}{\\text{Bet Size} \\times 50}\n",{"type":67,"tag":1116,"props":3920,"children":3922},{"className":3921,"ariaHidden":1198},[1197],[3923,3954],{"type":67,"tag":1116,"props":3924,"children":3926},{"className":3925},[1203],[3927,3932,3941,3945,3950],{"type":67,"tag":1116,"props":3928,"children":3931},{"className":3929,"style":3930},[1208],"height:0.6944em;",[],{"type":67,"tag":1116,"props":3933,"children":3935},{"className":3934},[1214,72],[3936],{"type":67,"tag":1116,"props":3937,"children":3939},{"className":3938},[1214],[3940],{"type":72,"value":3883},{"type":67,"tag":1116,"props":3942,"children":3944},{"className":3943,"style":1244},[1243],[],{"type":67,"tag":1116,"props":3946,"children":3948},{"className":3947},[1249],[3949],{"type":72,"value":3888},{"type":67,"tag":1116,"props":3951,"children":3953},{"className":3952,"style":1244},[1243],[],{"type":67,"tag":1116,"props":3955,"children":3957},{"className":3956},[1203],[3958,3963],{"type":67,"tag":1116,"props":3959,"children":3962},{"className":3960,"style":3961},[1208],"height:1.2834em;vertical-align:-0.4033em;",[],{"type":67,"tag":1116,"props":3964,"children":3966},{"className":3965},[1214],[3967,3971,4074],{"type":67,"tag":1116,"props":3968,"children":3970},{"className":3969},[1222,1272],[],{"type":67,"tag":1116,"props":3972,"children":3974},{"className":3973},[1169],[3975],{"type":67,"tag":1116,"props":3976,"children":3978},{"className":3977},[1281,1282],[3979,4062],{"type":67,"tag":1116,"props":3980,"children":3982},{"className":3981},[1287],[3983,4057],{"type":67,"tag":1116,"props":3984,"children":3987},{"className":3985,"style":3986},[1292],"height:0.8801em;",[3988,4022,4033],{"type":67,"tag":1116,"props":3989,"children":3990},{"style":1297},[3991,3995],{"type":67,"tag":1116,"props":3992,"children":3994},{"className":3993,"style":1303},[1302],[],{"type":67,"tag":1116,"props":3996,"children":3998},{"className":3997},[1308,1309,1310,1311],[3999],{"type":67,"tag":1116,"props":4000,"children":4002},{"className":4001},[1214,1311],[4003,4012,4017],{"type":67,"tag":1116,"props":4004,"children":4006},{"className":4005},[1214,72,1311],[4007],{"type":67,"tag":1116,"props":4008,"children":4010},{"className":4009},[1214,1311],[4011],{"type":72,"value":3904},{"type":67,"tag":1116,"props":4013,"children":4015},{"className":4014},[1532,1311],[4016],{"type":72,"value":1448},{"type":67,"tag":1116,"props":4018,"children":4020},{"className":4019},[1214,1311],[4021],{"type":72,"value":3913},{"type":67,"tag":1116,"props":4023,"children":4024},{"style":1324},[4025,4029],{"type":67,"tag":1116,"props":4026,"children":4028},{"className":4027,"style":1303},[1302],[],{"type":67,"tag":1116,"props":4030,"children":4032},{"className":4031,"style":1334},[1333],[],{"type":67,"tag":1116,"props":4034,"children":4035},{"style":2088},[4036,4040],{"type":67,"tag":1116,"props":4037,"children":4039},{"className":4038,"style":1303},[1302],[],{"type":67,"tag":1116,"props":4041,"children":4043},{"className":4042},[1308,1309,1310,1311],[4044],{"type":67,"tag":1116,"props":4045,"children":4047},{"className":4046},[1214,1311],[4048],{"type":67,"tag":1116,"props":4049,"children":4051},{"className":4050},[1214,72,1311],[4052],{"type":67,"tag":1116,"props":4053,"children":4055},{"className":4054},[1214,1311],[4056],{"type":72,"value":3896},{"type":67,"tag":1116,"props":4058,"children":4060},{"className":4059},[1364],[4061],{"type":72,"value":1367},{"type":67,"tag":1116,"props":4063,"children":4065},{"className":4064},[1287],[4066],{"type":67,"tag":1116,"props":4067,"children":4070},{"className":4068,"style":4069},[1292],"height:0.4033em;",[4071],{"type":67,"tag":1116,"props":4072,"children":4073},{},[],{"type":67,"tag":1116,"props":4075,"children":4077},{"className":4076},[1237,1272],[],{"type":67,"tag":228,"props":4079,"children":4080},{},[4081,4101],{"type":67,"tag":232,"props":4082,"children":4083},{},[4084],{"type":67,"tag":236,"props":4085,"children":4086},{},[4087,4091,4096],{"type":67,"tag":240,"props":4088,"children":4089},{},[4090],{"type":72,"value":3896},{"type":67,"tag":240,"props":4092,"children":4093},{},[4094],{"type":72,"value":4095},"Bet Size",{"type":67,"tag":240,"props":4097,"children":4098},{},[4099],{"type":72,"value":4100},"Expected Sessions",{"type":67,"tag":251,"props":4102,"children":4103},{},[4104,4121,4138],{"type":67,"tag":236,"props":4105,"children":4106},{},[4107,4112,4116],{"type":67,"tag":258,"props":4108,"children":4109},{},[4110],{"type":72,"value":4111},"$500",{"type":67,"tag":258,"props":4113,"children":4114},{},[4115],{"type":72,"value":3142},{"type":67,"tag":258,"props":4117,"children":4118},{},[4119],{"type":72,"value":4120},"~10",{"type":67,"tag":236,"props":4122,"children":4123},{},[4124,4128,4133],{"type":67,"tag":258,"props":4125,"children":4126},{},[4127],{"type":72,"value":4111},{"type":67,"tag":258,"props":4129,"children":4130},{},[4131],{"type":72,"value":4132},"$25",{"type":67,"tag":258,"props":4134,"children":4135},{},[4136],{"type":72,"value":4137},"~4",{"type":67,"tag":236,"props":4139,"children":4140},{},[4141,4145,4149],{"type":67,"tag":258,"props":4142,"children":4143},{},[4144],{"type":72,"value":4111},{"type":67,"tag":258,"props":4146,"children":4147},{},[4148],{"type":72,"value":3448},{"type":67,"tag":258,"props":4150,"children":4151},{},[4152],{"type":72,"value":4153},"~2",{"type":67,"tag":166,"props":4155,"children":4157},{"id":4156},"strategy-3-time-and-loss-limits",[4158],{"type":72,"value":4159},"Strategy 3: Time and Loss Limits",{"type":67,"tag":228,"props":4161,"children":4162},{},[4163,4178],{"type":67,"tag":232,"props":4164,"children":4165},{},[4166],{"type":67,"tag":236,"props":4167,"children":4168},{},[4169,4174],{"type":67,"tag":240,"props":4170,"children":4171},{},[4172],{"type":72,"value":4173},"Limit Type",{"type":67,"tag":240,"props":4175,"children":4176},{},[4177],{"type":72,"value":427},{"type":67,"tag":251,"props":4179,"children":4180},{},[4181,4194,4206],{"type":67,"tag":236,"props":4182,"children":4183},{},[4184,4189],{"type":67,"tag":258,"props":4185,"children":4186},{},[4187],{"type":72,"value":4188},"Time",{"type":67,"tag":258,"props":4190,"children":4191},{},[4192],{"type":72,"value":4193},"\"1 hour maximum\"",{"type":67,"tag":236,"props":4195,"children":4196},{},[4197,4201],{"type":67,"tag":258,"props":4198,"children":4199},{},[4200],{"type":72,"value":3745},{"type":67,"tag":258,"props":4202,"children":4203},{},[4204],{"type":72,"value":4205},"\"Stop at -$200\"",{"type":67,"tag":236,"props":4207,"children":4208},{},[4209,4214],{"type":67,"tag":258,"props":4210,"children":4211},{},[4212],{"type":72,"value":4213},"Win goal",{"type":67,"tag":258,"props":4215,"children":4216},{},[4217],{"type":72,"value":4218},"\"Leave at +$100\"",{"type":67,"tag":74,"props":4220,"children":4221},{},[4222],{"type":72,"value":4223},"Win goals don't improve EV but lock in short-term variance.",{"type":67,"tag":166,"props":4225,"children":4227},{"id":4226},"strategy-4-bet-selection",[4228],{"type":72,"value":4229},"Strategy 4: Bet Selection",{"type":67,"tag":74,"props":4231,"children":4232},{},[4233],{"type":72,"value":4234},"All bets have equal house edge, so choose based on preference:",{"type":67,"tag":228,"props":4236,"children":4237},{},[4238,4253],{"type":67,"tag":232,"props":4239,"children":4240},{},[4241],{"type":67,"tag":236,"props":4242,"children":4243},{},[4244,4249],{"type":67,"tag":240,"props":4245,"children":4246},{},[4247],{"type":72,"value":4248},"If You Want...",{"type":67,"tag":240,"props":4250,"children":4251},{},[4252],{"type":72,"value":1687},{"type":67,"tag":251,"props":4254,"children":4255},{},[4256,4269,4282,4295],{"type":67,"tag":236,"props":4257,"children":4258},{},[4259,4264],{"type":67,"tag":258,"props":4260,"children":4261},{},[4262],{"type":72,"value":4263},"Excitement",{"type":67,"tag":258,"props":4265,"children":4266},{},[4267],{"type":72,"value":4268},"Straight-up numbers",{"type":67,"tag":236,"props":4270,"children":4271},{},[4272,4277],{"type":67,"tag":258,"props":4273,"children":4274},{},[4275],{"type":72,"value":4276},"Longer sessions",{"type":67,"tag":258,"props":4278,"children":4279},{},[4280],{"type":72,"value":4281},"Even-money bets",{"type":67,"tag":236,"props":4283,"children":4284},{},[4285,4290],{"type":67,"tag":258,"props":4286,"children":4287},{},[4288],{"type":72,"value":4289},"Moderate risk\u002Freward",{"type":67,"tag":258,"props":4291,"children":4292},{},[4293],{"type":72,"value":4294},"Dozens\u002Fcolumns",{"type":67,"tag":236,"props":4296,"children":4297},{},[4298,4303],{"type":67,"tag":258,"props":4299,"children":4300},{},[4301],{"type":72,"value":4302},"Simple tracking",{"type":67,"tag":258,"props":4304,"children":4305},{},[4306],{"type":72,"value":4307},"Red\u002Fblack",{"type":67,"tag":166,"props":4309,"children":4311},{"id":4310},"strategy-5-avoid-the-worst-bets",[4312],{"type":72,"value":4313},"Strategy 5: Avoid the Worst Bets",{"type":67,"tag":228,"props":4315,"children":4316},{},[4317,4332],{"type":67,"tag":232,"props":4318,"children":4319},{},[4320],{"type":67,"tag":236,"props":4321,"children":4322},{},[4323,4327],{"type":67,"tag":240,"props":4324,"children":4325},{},[4326],{"type":72,"value":796},{"type":67,"tag":240,"props":4328,"children":4329},{},[4330],{"type":72,"value":4331},"Why Avoid",{"type":67,"tag":251,"props":4333,"children":4334},{},[4335,4348,4361],{"type":67,"tag":236,"props":4336,"children":4337},{},[4338,4343],{"type":67,"tag":258,"props":4339,"children":4340},{},[4341],{"type":72,"value":4342},"Five-bet (American)",{"type":67,"tag":258,"props":4344,"children":4345},{},[4346],{"type":72,"value":4347},"7.89% house edge",{"type":67,"tag":236,"props":4349,"children":4350},{},[4351,4356],{"type":67,"tag":258,"props":4352,"children":4353},{},[4354],{"type":72,"value":4355},"American roulette generally",{"type":67,"tag":258,"props":4357,"children":4358},{},[4359],{"type":72,"value":4360},"5.26% vs 2.70%",{"type":67,"tag":236,"props":4362,"children":4363},{},[4364,4369],{"type":67,"tag":258,"props":4365,"children":4366},{},[4367],{"type":72,"value":4368},"Systems with increasing stakes",{"type":67,"tag":258,"props":4370,"children":4371},{},[4372],{"type":72,"value":4373},"Bankroll destruction",{"type":67,"tag":68,"props":4375,"children":4377},{"id":4376},"common-misconceptions-myths",[4378],{"type":72,"value":4379},"Common Misconceptions {#myths}",{"type":67,"tag":166,"props":4381,"children":4383},{"id":4382},"myth-1-numbers-are-due",[4384],{"type":72,"value":4385},"Myth 1: Numbers Are \"Due\"",{"type":67,"tag":74,"props":4387,"children":4388},{},[4389,4394],{"type":67,"tag":78,"props":4390,"children":4391},{},[4392],{"type":72,"value":4393},"Reality:",{"type":72,"value":4395}," Each spin is independent. If red hits 10 times, black has exactly 48.65% chance on spin 11.",{"type":67,"tag":1116,"props":4397,"children":4399},{"className":4398},[1119],[4400,4470],{"type":67,"tag":1116,"props":4401,"children":4403},{"className":4402},[1124],[4404],{"type":67,"tag":1127,"props":4405,"children":4406},{"xmlns":1129},[4407],{"type":67,"tag":1132,"props":4408,"children":4409},{},[4410,4465],{"type":67,"tag":1136,"props":4411,"children":4412},{},[4413,4417,4421,4426,4430,4434,4438,4443,4447,4451,4456,4460],{"type":67,"tag":1140,"props":4414,"children":4415},{},[4416],{"type":72,"value":1144},{"type":67,"tag":1146,"props":4418,"children":4419},{"stretchy":1148},[4420],{"type":72,"value":1151},{"type":67,"tag":1153,"props":4422,"children":4423},{},[4424],{"type":72,"value":4425},"Black next",{"type":67,"tag":1146,"props":4427,"children":4428},{"stretchy":1148},[4429],{"type":72,"value":1162},{"type":67,"tag":1146,"props":4431,"children":4432},{},[4433],{"type":72,"value":1167},{"type":67,"tag":1178,"props":4435,"children":4436},{},[4437],{"type":72,"value":461},{"type":67,"tag":1140,"props":4439,"children":4440},{"mathvariant":1977},[4441],{"type":72,"value":4442},"\u002F",{"type":67,"tag":1178,"props":4444,"children":4445},{},[4446],{"type":72,"value":701},{"type":67,"tag":1146,"props":4448,"children":4449},{},[4450],{"type":72,"value":1167},{"type":67,"tag":1178,"props":4452,"children":4453},{},[4454],{"type":72,"value":4455},"48.65",{"type":67,"tag":1140,"props":4457,"children":4458},{"mathvariant":1977},[4459],{"type":72,"value":1980},{"type":67,"tag":1153,"props":4461,"children":4462},{},[4463],{"type":72,"value":4464}," (always)",{"type":67,"tag":1188,"props":4466,"children":4467},{"encoding":1190},[4468],{"type":72,"value":4469},"P(\\text{Black next}) = 18\u002F37 = 48.65\\% \\text{ (always)}\n",{"type":67,"tag":1116,"props":4471,"children":4473},{"className":4472,"ariaHidden":1198},[1197],[4474,4519,4546],{"type":67,"tag":1116,"props":4475,"children":4477},{"className":4476},[1203],[4478,4482,4487,4492,4501,4506,4510,4515],{"type":67,"tag":1116,"props":4479,"children":4481},{"className":4480,"style":1209},[1208],[],{"type":67,"tag":1116,"props":4483,"children":4485},{"className":4484,"style":1216},[1214,1215],[4486],{"type":72,"value":1144},{"type":67,"tag":1116,"props":4488,"children":4490},{"className":4489},[1222],[4491],{"type":72,"value":1151},{"type":67,"tag":1116,"props":4493,"children":4495},{"className":4494},[1214,72],[4496],{"type":67,"tag":1116,"props":4497,"children":4499},{"className":4498},[1214],[4500],{"type":72,"value":4425},{"type":67,"tag":1116,"props":4502,"children":4504},{"className":4503},[1237],[4505],{"type":72,"value":1162},{"type":67,"tag":1116,"props":4507,"children":4509},{"className":4508,"style":1244},[1243],[],{"type":67,"tag":1116,"props":4511,"children":4513},{"className":4512},[1249],[4514],{"type":72,"value":1167},{"type":67,"tag":1116,"props":4516,"children":4518},{"className":4517,"style":1244},[1243],[],{"type":67,"tag":1116,"props":4520,"children":4522},{"className":4521},[1203],[4523,4527,4533,4537,4542],{"type":67,"tag":1116,"props":4524,"children":4526},{"className":4525,"style":1209},[1208],[],{"type":67,"tag":1116,"props":4528,"children":4530},{"className":4529},[1214],[4531],{"type":72,"value":4532},"18\u002F37",{"type":67,"tag":1116,"props":4534,"children":4536},{"className":4535,"style":1244},[1243],[],{"type":67,"tag":1116,"props":4538,"children":4540},{"className":4539},[1249],[4541],{"type":72,"value":1167},{"type":67,"tag":1116,"props":4543,"children":4545},{"className":4544,"style":1244},[1243],[],{"type":67,"tag":1116,"props":4547,"children":4549},{"className":4548},[1203],[4550,4554,4559],{"type":67,"tag":1116,"props":4551,"children":4553},{"className":4552,"style":1209},[1208],[],{"type":67,"tag":1116,"props":4555,"children":4557},{"className":4556},[1214],[4558],{"type":72,"value":1023},{"type":67,"tag":1116,"props":4560,"children":4562},{"className":4561},[1214,72],[4563],{"type":67,"tag":1116,"props":4564,"children":4566},{"className":4565},[1214],[4567],{"type":72,"value":4464},{"type":67,"tag":74,"props":4569,"children":4570},{},[4571],{"type":72,"value":4572},"The wheel has no memory.",{"type":67,"tag":166,"props":4574,"children":4576},{"id":4575},"myth-2-dealers-can-influence-results",[4577],{"type":72,"value":4578},"Myth 2: Dealers Can Influence Results",{"type":67,"tag":74,"props":4580,"children":4581},{},[4582,4586],{"type":67,"tag":78,"props":4583,"children":4584},{},[4585],{"type":72,"value":4393},{"type":72,"value":4587}," The physics of a spinning wheel and ball are too complex to control. Casinos use standardized procedures specifically to prevent dealer influence.",{"type":67,"tag":166,"props":4589,"children":4591},{"id":4590},"myth-3-patterns-can-be-exploited",[4592],{"type":72,"value":4593},"Myth 3: Patterns Can Be Exploited",{"type":67,"tag":74,"props":4595,"children":4596},{},[4597,4601],{"type":67,"tag":78,"props":4598,"children":4599},{},[4600],{"type":72,"value":4393},{"type":72,"value":4602}," Past spins don't predict future outcomes. Electronic displays showing history are entertainment, not useful information.",{"type":67,"tag":228,"props":4604,"children":4605},{},[4606,4622],{"type":67,"tag":232,"props":4607,"children":4608},{},[4609],{"type":67,"tag":236,"props":4610,"children":4611},{},[4612,4617],{"type":67,"tag":240,"props":4613,"children":4614},{},[4615],{"type":72,"value":4616},"Pattern Spotted",{"type":67,"tag":240,"props":4618,"children":4619},{},[4620],{"type":72,"value":4621},"Predictive Value",{"type":67,"tag":251,"props":4623,"children":4624},{},[4625,4638,4650],{"type":67,"tag":236,"props":4626,"children":4627},{},[4628,4633],{"type":67,"tag":258,"props":4629,"children":4630},{},[4631],{"type":72,"value":4632},"\"Red streak\"",{"type":67,"tag":258,"props":4634,"children":4635},{},[4636],{"type":72,"value":4637},"None",{"type":67,"tag":236,"props":4639,"children":4640},{},[4641,4646],{"type":67,"tag":258,"props":4642,"children":4643},{},[4644],{"type":72,"value":4645},"\"Hot\u002Fcold numbers\"",{"type":67,"tag":258,"props":4647,"children":4648},{},[4649],{"type":72,"value":4637},{"type":67,"tag":236,"props":4651,"children":4652},{},[4653,4658],{"type":67,"tag":258,"props":4654,"children":4655},{},[4656],{"type":72,"value":4657},"\"Sector patterns\"",{"type":67,"tag":258,"props":4659,"children":4660},{},[4661],{"type":72,"value":4637},{"type":67,"tag":166,"props":4663,"children":4665},{"id":4664},"myth-4-some-bets-are-safer",[4666],{"type":72,"value":4667},"Myth 4: Some Bets Are \"Safer\"",{"type":67,"tag":74,"props":4669,"children":4670},{},[4671,4675],{"type":67,"tag":78,"props":4672,"children":4673},{},[4674],{"type":72,"value":4393},{"type":72,"value":4676}," All bets have identical house edge (except French La Partage). Even-money bets win more often but pay less—the math balances out.",{"type":67,"tag":228,"props":4678,"children":4679},{},[4680,4700],{"type":67,"tag":232,"props":4681,"children":4682},{},[4683],{"type":67,"tag":236,"props":4684,"children":4685},{},[4686,4690,4695],{"type":67,"tag":240,"props":4687,"children":4688},{},[4689],{"type":72,"value":796},{"type":67,"tag":240,"props":4691,"children":4692},{},[4693],{"type":72,"value":4694},"Win Frequency",{"type":67,"tag":240,"props":4696,"children":4697},{},[4698],{"type":72,"value":4699},"Edge",{"type":67,"tag":251,"props":4701,"children":4702},{},[4703,4718],{"type":67,"tag":236,"props":4704,"children":4705},{},[4706,4710,4714],{"type":67,"tag":258,"props":4707,"children":4708},{},[4709],{"type":72,"value":1008},{"type":67,"tag":258,"props":4711,"children":4712},{},[4713],{"type":72,"value":1023},{"type":67,"tag":258,"props":4715,"children":4716},{},[4717],{"type":72,"value":710},{"type":67,"tag":236,"props":4719,"children":4720},{},[4721,4725,4729],{"type":67,"tag":258,"props":4722,"children":4723},{},[4724],{"type":72,"value":822},{"type":67,"tag":258,"props":4726,"children":4727},{},[4728],{"type":72,"value":710},{"type":67,"tag":258,"props":4730,"children":4731},{},[4732],{"type":72,"value":710},{"type":67,"tag":74,"props":4734,"children":4735},{},[4736],{"type":72,"value":4737},"Same edge, different experience.",{"type":67,"tag":166,"props":4739,"children":4741},{"id":4740},"myth-5-biased-wheels-exist",[4742],{"type":72,"value":4743},"Myth 5: Biased Wheels Exist",{"type":67,"tag":74,"props":4745,"children":4746},{},[4747,4751],{"type":67,"tag":78,"props":4748,"children":4749},{},[4750],{"type":72,"value":4393},{"type":72,"value":4752}," Historically true for physical wheels with wear. Modern casinos maintain wheels meticulously. Online roulette uses RNG—no physical bias possible.",{"type":67,"tag":68,"props":4754,"children":4756},{"id":4755},"online-vs-live-roulette-online",[4757],{"type":72,"value":4758},"Online vs. Live Roulette {#online}",{"type":67,"tag":166,"props":4760,"children":4762},{"id":4761},"rng-roulette",[4763],{"type":72,"value":4764},"RNG Roulette",{"type":67,"tag":228,"props":4766,"children":4767},{},[4768,4784],{"type":67,"tag":232,"props":4769,"children":4770},{},[4771],{"type":67,"tag":236,"props":4772,"children":4773},{},[4774,4779],{"type":67,"tag":240,"props":4775,"children":4776},{},[4777],{"type":72,"value":4778},"Factor",{"type":67,"tag":240,"props":4780,"children":4781},{},[4782],{"type":72,"value":4783},"Detail",{"type":67,"tag":251,"props":4785,"children":4786},{},[4787,4800,4813,4826],{"type":67,"tag":236,"props":4788,"children":4789},{},[4790,4795],{"type":67,"tag":258,"props":4791,"children":4792},{},[4793],{"type":72,"value":4794},"Fairness",{"type":67,"tag":258,"props":4796,"children":4797},{},[4798],{"type":72,"value":4799},"Certified RNG, audited",{"type":67,"tag":236,"props":4801,"children":4802},{},[4803,4808],{"type":67,"tag":258,"props":4804,"children":4805},{},[4806],{"type":72,"value":4807},"Speed",{"type":67,"tag":258,"props":4809,"children":4810},{},[4811],{"type":72,"value":4812},"Very fast (30+ spins\u002Fhour)",{"type":67,"tag":236,"props":4814,"children":4815},{},[4816,4821],{"type":67,"tag":258,"props":4817,"children":4818},{},[4819],{"type":72,"value":4820},"Authenticity",{"type":67,"tag":258,"props":4822,"children":4823},{},[4824],{"type":72,"value":4825},"Less immersive",{"type":67,"tag":236,"props":4827,"children":4828},{},[4829,4834],{"type":67,"tag":258,"props":4830,"children":4831},{},[4832],{"type":72,"value":4833},"Minimums",{"type":67,"tag":258,"props":4835,"children":4836},{},[4837],{"type":72,"value":4838},"Often $0.10-1",{"type":67,"tag":166,"props":4840,"children":4842},{"id":4841},"live-dealer-roulette",[4843],{"type":72,"value":4844},"Live Dealer Roulette",{"type":67,"tag":228,"props":4846,"children":4847},{},[4848,4862],{"type":67,"tag":232,"props":4849,"children":4850},{},[4851],{"type":67,"tag":236,"props":4852,"children":4853},{},[4854,4858],{"type":67,"tag":240,"props":4855,"children":4856},{},[4857],{"type":72,"value":4778},{"type":67,"tag":240,"props":4859,"children":4860},{},[4861],{"type":72,"value":4783},{"type":67,"tag":251,"props":4863,"children":4864},{},[4865,4877,4889,4901],{"type":67,"tag":236,"props":4866,"children":4867},{},[4868,4872],{"type":67,"tag":258,"props":4869,"children":4870},{},[4871],{"type":72,"value":4794},{"type":67,"tag":258,"props":4873,"children":4874},{},[4875],{"type":72,"value":4876},"Physical wheel, filmed",{"type":67,"tag":236,"props":4878,"children":4879},{},[4880,4884],{"type":67,"tag":258,"props":4881,"children":4882},{},[4883],{"type":72,"value":4807},{"type":67,"tag":258,"props":4885,"children":4886},{},[4887],{"type":72,"value":4888},"Moderate (30-40 spins\u002Fhour)",{"type":67,"tag":236,"props":4890,"children":4891},{},[4892,4896],{"type":67,"tag":258,"props":4893,"children":4894},{},[4895],{"type":72,"value":4820},{"type":67,"tag":258,"props":4897,"children":4898},{},[4899],{"type":72,"value":4900},"Real casino feel",{"type":67,"tag":236,"props":4902,"children":4903},{},[4904,4908],{"type":67,"tag":258,"props":4905,"children":4906},{},[4907],{"type":72,"value":4833},{"type":67,"tag":258,"props":4909,"children":4910},{},[4911],{"type":72,"value":4912},"Usually $1-5",{"type":67,"tag":166,"props":4914,"children":4916},{"id":4915},"which-to-choose",[4917],{"type":72,"value":4918},"Which to Choose",{"type":67,"tag":228,"props":4920,"children":4921},{},[4922,4938],{"type":67,"tag":232,"props":4923,"children":4924},{},[4925],{"type":67,"tag":236,"props":4926,"children":4927},{},[4928,4933],{"type":67,"tag":240,"props":4929,"children":4930},{},[4931],{"type":72,"value":4932},"Priority",{"type":67,"tag":240,"props":4934,"children":4935},{},[4936],{"type":72,"value":4937},"Choose",{"type":67,"tag":251,"props":4939,"children":4940},{},[4941,4954,4967,4978],{"type":67,"tag":236,"props":4942,"children":4943},{},[4944,4949],{"type":67,"tag":258,"props":4945,"children":4946},{},[4947],{"type":72,"value":4948},"Entertainment",{"type":67,"tag":258,"props":4950,"children":4951},{},[4952],{"type":72,"value":4953},"Live dealer",{"type":67,"tag":236,"props":4955,"children":4956},{},[4957,4962],{"type":67,"tag":258,"props":4958,"children":4959},{},[4960],{"type":72,"value":4961},"Low stakes",{"type":67,"tag":258,"props":4963,"children":4964},{},[4965],{"type":72,"value":4966},"RNG",{"type":67,"tag":236,"props":4968,"children":4969},{},[4970,4974],{"type":67,"tag":258,"props":4971,"children":4972},{},[4973],{"type":72,"value":4807},{"type":67,"tag":258,"props":4975,"children":4976},{},[4977],{"type":72,"value":4966},{"type":67,"tag":236,"props":4979,"children":4980},{},[4981,4986],{"type":67,"tag":258,"props":4982,"children":4983},{},[4984],{"type":72,"value":4985},"Trust",{"type":67,"tag":258,"props":4987,"children":4988},{},[4989],{"type":72,"value":4990},"Either (both regulated)",{"type":67,"tag":68,"props":4992,"children":4994},{"id":4993},"roulette-variants-variants",[4995],{"type":72,"value":4996},"Roulette Variants {#variants}",{"type":67,"tag":166,"props":4998,"children":5000},{"id":4999},"lightning-roulette",[5001],{"type":72,"value":5002},"Lightning Roulette",{"type":67,"tag":74,"props":5004,"children":5005},{},[5006],{"type":72,"value":5007},"Random multipliers (50-500x) on select numbers each spin.",{"type":67,"tag":228,"props":5009,"children":5010},{},[5011,5026],{"type":67,"tag":232,"props":5012,"children":5013},{},[5014],{"type":67,"tag":236,"props":5015,"children":5016},{},[5017,5021],{"type":67,"tag":240,"props":5018,"children":5019},{},[5020],{"type":72,"value":4778},{"type":67,"tag":240,"props":5022,"children":5023},{},[5024],{"type":72,"value":5025},"Impact",{"type":67,"tag":251,"props":5027,"children":5028},{},[5029,5042,5055],{"type":67,"tag":236,"props":5030,"children":5031},{},[5032,5037],{"type":67,"tag":258,"props":5033,"children":5034},{},[5035],{"type":72,"value":5036},"Base payout",{"type":67,"tag":258,"props":5038,"children":5039},{},[5040],{"type":72,"value":5041},"Reduced (29:1 vs 35:1)",{"type":67,"tag":236,"props":5043,"children":5044},{},[5045,5050],{"type":67,"tag":258,"props":5046,"children":5047},{},[5048],{"type":72,"value":5049},"Multiplied wins",{"type":67,"tag":258,"props":5051,"children":5052},{},[5053],{"type":72,"value":5054},"Up to 500x",{"type":67,"tag":236,"props":5056,"children":5057},{},[5058,5063],{"type":67,"tag":258,"props":5059,"children":5060},{},[5061],{"type":72,"value":5062},"House edge",{"type":67,"tag":258,"props":5064,"children":5065},{},[5066],{"type":72,"value":5067},"~2.7% (unchanged)",{"type":67,"tag":74,"props":5069,"children":5070},{},[5071],{"type":72,"value":5072},"Higher variance, same EV.",{"type":67,"tag":166,"props":5074,"children":5076},{"id":5075},"double-ball-roulette",[5077],{"type":72,"value":5078},"Double Ball Roulette",{"type":67,"tag":74,"props":5080,"children":5081},{},[5082],{"type":72,"value":5083},"Two balls, more betting options.",{"type":67,"tag":228,"props":5085,"children":5086},{},[5087,5101],{"type":67,"tag":232,"props":5088,"children":5089},{},[5090],{"type":67,"tag":236,"props":5091,"children":5092},{},[5093,5097],{"type":67,"tag":240,"props":5094,"children":5095},{},[5096],{"type":72,"value":4778},{"type":67,"tag":240,"props":5098,"children":5099},{},[5100],{"type":72,"value":5025},{"type":67,"tag":251,"props":5102,"children":5103},{},[5104,5117,5129],{"type":67,"tag":236,"props":5105,"children":5106},{},[5107,5112],{"type":67,"tag":258,"props":5108,"children":5109},{},[5110],{"type":72,"value":5111},"Complexity",{"type":67,"tag":258,"props":5113,"children":5114},{},[5115],{"type":72,"value":5116},"Higher",{"type":67,"tag":236,"props":5118,"children":5119},{},[5120,5124],{"type":67,"tag":258,"props":5121,"children":5122},{},[5123],{"type":72,"value":5062},{"type":67,"tag":258,"props":5125,"children":5126},{},[5127],{"type":72,"value":5128},"Similar",{"type":67,"tag":236,"props":5130,"children":5131},{},[5132,5136],{"type":67,"tag":258,"props":5133,"children":5134},{},[5135],{"type":72,"value":4263},{"type":67,"tag":258,"props":5137,"children":5138},{},[5139],{"type":72,"value":5140},"More action",{"type":67,"tag":166,"props":5142,"children":5144},{"id":5143},"mini-roulette",[5145],{"type":72,"value":5146},"Mini Roulette",{"type":67,"tag":74,"props":5148,"children":5149},{},[5150],{"type":72,"value":5151},"12 numbers plus zero.",{"type":67,"tag":228,"props":5153,"children":5154},{},[5155,5169],{"type":67,"tag":232,"props":5156,"children":5157},{},[5158],{"type":67,"tag":236,"props":5159,"children":5160},{},[5161,5165],{"type":67,"tag":240,"props":5162,"children":5163},{},[5164],{"type":72,"value":4778},{"type":67,"tag":240,"props":5166,"children":5167},{},[5168],{"type":72,"value":5025},{"type":67,"tag":251,"props":5170,"children":5171},{},[5172,5184,5196],{"type":67,"tag":236,"props":5173,"children":5174},{},[5175,5179],{"type":67,"tag":258,"props":5176,"children":5177},{},[5178],{"type":72,"value":5062},{"type":67,"tag":258,"props":5180,"children":5181},{},[5182],{"type":72,"value":5183},"7.69% (much worse)",{"type":67,"tag":236,"props":5185,"children":5186},{},[5187,5191],{"type":67,"tag":258,"props":5188,"children":5189},{},[5190],{"type":72,"value":4807},{"type":67,"tag":258,"props":5192,"children":5193},{},[5194],{"type":72,"value":5195},"Faster",{"type":67,"tag":236,"props":5197,"children":5198},{},[5199,5204],{"type":67,"tag":258,"props":5200,"children":5201},{},[5202],{"type":72,"value":5203},"Recommendation",{"type":67,"tag":258,"props":5205,"children":5206},{},[5207],{"type":72,"value":5208},"Avoid",{"type":67,"tag":68,"props":5210,"children":5212},{"id":5211},"related-calculators",[5213],{"type":72,"value":5214},"Related Calculators",{"type":67,"tag":91,"props":5216,"children":5217},{},[5218,5228,5238],{"type":67,"tag":95,"props":5219,"children":5220},{},[5221,5226],{"type":67,"tag":99,"props":5222,"children":5223},{"href":31},[5224],{"type":72,"value":5225},"Roulette Odds Calculator",{"type":72,"value":5227}," - Calculate any bet",{"type":67,"tag":95,"props":5229,"children":5230},{},[5231,5236],{"type":67,"tag":99,"props":5232,"children":5233},{"href":31},[5234],{"type":72,"value":5235},"Roulette Odds Table",{"type":72,"value":5237}," - Full probability reference",{"type":67,"tag":95,"props":5239,"children":5240},{},[5241,5246],{"type":67,"tag":99,"props":5242,"children":5243},{"href":32},[5244],{"type":72,"value":5245},"Betting Systems Simulator",{"type":72,"value":5247}," - Test systems mathematically"]